SCIENTIFIC ABSTRACT SILIN, V.A. - SILIN, V.P.

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SCIENTIFIC ABSTRACT
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i'llbANOV, M.M.; KO'S"RYUKOV, (;.V.; ASFANNYAROV, Kh.A.; mimswrov, H.A.; KONDAKOV, A.N.; TURLE;OV, V.M.- SILIN V.A.; f,'LYUT-oKIY, O.V.; SHELDYIJAYEV, B.F.; PETROV, A.A*-~;giihmvj YU.S.; KOLFSNIKOV, A.Ye.; DROZDOV, I.P.; IVANTSOV, O.M.; TSYGANOV, B.Ya.; KOR140110GOV, A.P.; VDOVIN, K.I.; ALEKSEYEV, L.A.; GAYDUKOV, D.T.; LIFOWkWALY, A.Ya.; DANYUSHEVSKIY, V.S.; VEDISHCHEV, I.A.; ALEXSZTN., L.G.; KRASYUK, A.D.; IVANOV, G.A. Author's communictitions. Neft. i gaz. prom. no.2:67-68 AP-Je 164. (MIRA 17:9) 1 05197 9(.0,3) SOV/142-2-3-5/27 AUTHOR.- S i I i n TITLEt The Multivibrator Turnover Potential PERIODICAL: Izvestiya vysshikh uchabnykh zavedeniy, Radiote%hnika, 1959, Vol 2, Nr 3, pp 299-306 (USSR) ABSTRACT- In this paper the author presents the analytical dependences for the turnover potential of a self-excited multivibrator, which fa- cilitate sufficiently accurate calculations of the duration of the generated pulses. The results of the analyses have been con- firmed experimentally. Although, the turnover potential is one of the basic parameters of any multivibrator circuit, the available literature does not contain satisfactory analytical expressions or descriptions of experimental methods for determining its mag- nitude. Most authors identify the turnover potential with the so- called tube-blocking potential, (Ref.112,3,4,%5). This results in the widely used expression for the turnover potential 119= '&a _W_ . " where Ea is the voltage of the anode feed source; lb-tube amn"L Card 1/3 ficstion factor. The inaccuracy of the aforementioned approac 05197 SOV/142-t-3-5/27 The Ifultivibrator Turnover Potential was also noted in ref.5 by A.M. Donch-Bruyevich. The aforemention- ed deficiency of the generally accepted representation of the turnover potential does not lead to any serious errors in inves- tigations nn long its it does not touch the problem of operational stability of titultivibrator circuits. In the latter case, such an analysis will meet essential difficulties. In this papor, the Au- thor presents some results of his theoretical and experimental investigations of the turnover potential of some typical circuits of self-excited multivibra-~ors Couposed of triodes, as shown in fig.l. Ile discusses the anode-grid characteristics approximation of triodes in the area of small currents. Ile derives an analyti- cal expression for the turnover potential. The investigation of experimental circuits, as shown in the block diagram, fig.5, con- firmed the correctness of the analytic conclusions. The author conducted a number of multi-vibrator circuits measurements with tubes 6N8Sq 6NIP and GNU. The author compared the experimental data with theoretical data obtained according to the formula Card 2/3 El go = E 0 - UOC - Ea + 1 In q i0 + 1 In S;62 Ra2 Ral and 9 p, q q 05197 SOV/142-2-3-6/27 The Multivibratur Turnover Potential witi, mic first mentioned fon-.iula. The rosults of this paper con- firri indirectly the suitability of using the exponential approx- imation of the initial section of' the anode-gred characteristics of triodes. The publication of this paper was recommended by the KtLfedra lJosicovalcogoav-1alslannogo instituta imeni Sergo Ordzhonl- ,.idze (Moscow Aviation Institute imeni Sergo Ordzlionlk.dze). There are 2 circuit diagrams, 2 graphs, I block diagram and 7 Soviet references SUBMITTED: July 3, 1938 (November 19, 1957) Card 3/3 05374 AUTHOR: Silin, V.B. sov/io6-59-8-6/12 TITLE: The Effect of Variation in Valve Parameters on the Pula* Duration in Multivibrator Circuits PERIODICAL: Elektrosvyazl, 1959, Nr 8, pp 43 - 51 (USSR) ABSTRACT: The objject of the article is to determine the variation in the value of the pulse duration T or in the value of the oscillation period of multivibrators when their valves are replaced. The article is restricted to multivibrator circuits which employ triodes. The relative pulse duration variation is given by: T to A 9 : ~j A2 (3) T in 90 +- U&0ago+ U90 aSO Ego + Ugo where E0 is the amplt1due of the pulse voltage at the Cardl/6 05374 SOV/106-59-&6/12 The Effect of Variation in Valve Parameters on the Pulse Duration in Multivibrator Circuits anode of the conducting valve; R 90 is the trigger potential of the closed valve; U so in the potential of the point of connection of the grid-leak resistance to the grid of the multivibrator valve. 9.0 ' is considered a valve parameter, since it to almost independent of the other circuit parameters. But, since go depends on the anode loads# Eq (3) cannot be used directly to find the effect of valve replacement. Assuming that the anode characteristic is linear and has the form shown in Figure 2, the r*lative change in ZO(A 90/90) for &relative change (OR /R,) in the internal resistance of the valve in given by: A go Ri 6R1 (5) d -3/6 Card2/6 to Ra * Ri Ri 0t, fteilt Clep 12e *rjocle eqcls a: Oil 41, ti, e t4e o5374 SOV/106-59-8-6/12 The Effect of Variation in Valve Parameters on the Pulse Duration in Multivibrator Circuits current ia I determined at some particular anode voltage, and in the trigger potential 9go. The form of Ecp (3) and (8) are such that a change can be made from the unknown relative variations to the variation coefficients of i and E go (Ref 2). The latter are dimensionless character- istics of the variation In the random value of T due to changes in ial -(VT(ia) and due to changes in Egot VT(E go and equal the ratios of its mean square standard deviation 6Tto its moan value T , when each parameter varies. The variation coefficients can be combined to account for simultaneous, independent variation in ia and Ego : y (i , E ) = V2U ) +-V2(9 (12) Card4/6 T a 90 V T a T go 05374 sov/io6-59-8-6/12 The Effect of Variation in Valve Parameters on the Pulse Duration in Multivibrator Circuits This assumes that the triodes are not halves of a double triode. In the case when there is correlation P between the variations in E go and I a then: V2U V2(E + 2(OVT(:L )V (E (13) VT(i a'Ego ) -_ V T T go a T go The article then gives the results of experimental investigation in which the circuits shown in Figures 3 and 4 were used. It is concluded: 1) correlation between i a and 9 go increases the stability of the circuit against valve replacement, especially for free-running circuits. 2) With proper selection of the circuit parameters, the stability improves 3-4 times when U go = Ea (the HT Card5/-6 supply voltage), compared to the stability when U go ~ 0 05374 SOV/106-59-84112 The Lffect of Variation In Valve Pax-ameteirs on the Pulse Duration in Multivibrator Circuits 3) With proper choice of valves having the highest possible correlation between their parameters and making Ugo = Ea , the maximum deviation in the oscillation period when the valves are replaced will not exceed 15 - 2 %. There are 11 figures, 2 tables and 3 Soviet references. SUBMITTED: April 26, 1959 Card 6/6 - ~.., i ,a T'Q " (_ - ci -- (, -L , e J~ . I . , f, ~ i c11 ** -!-* S~3) "6tabilitv c ! the perfoi-La.-,c of _- c"- e s o f L.ultivibrator--.11 lVoscow, 1060. 16 pp; (,Vinistry of hi,, ner - 11 rZ; ~a!.d 1',,-eccr.-J-~sry E--:ecia ist Educaticr. RSF;~R, -'.oscow Crder of' Lenin Avistion in,-'% ii.,. 11". Ordzinonii-idze); 160 copies; price not x~iven; (Kil, 22-6,C), 130) - C: PHASE I BOOK EXPLOITATION SOV/5197 Moscow. Aviatsionnyy institut imeni Sergo Ordzhonikidze Voprosy Impul'snoy tekhniki I elektronnykh vychislitellnykh ustroystv; sbornik statey (Problems in Pulse Technique and Electronic Computers; Collection of Articles) Moscow, Oborongiz, 1960. 102 p. 9,150 copies printed. (Series: Its: Trudy, vyp. 126). Sponsoring Agencies: Ministerstvo vysshego I srednego spetsiallnogo obrazovaniya RSFSR, and Moskovskiy ordena Lenina aviatsionnyy Institut Imeni Sergo Ordzhonikidze. Ed. (Title page : V. T. Frolkin, Candidate of Technical Sciences, Docent; Ed. ~Inslde book): Ya. N. Luginskiy, Engineer; Ed. of Publishing House: E. A. Shekhtman; Tech. Ed.: V. 1. Oreshkina; Managing Ed.: A. S. Zaymovskaya, Engineer. PURPOSE: This collection of articles is intended for scientific and technical personnel, and for students in advanced courses In Card l/ 3 Problems in Pulse Technique (Cont.) SCV/5197 schools of higher education. COVERAGE: The articlesdescribe the results of investigations car- ried out by the M-Ai (Moscow Aviation Institute) on the following subjects: stability of the operation of multivibrator circuits; comparative analysis of relaxation oscillators with a capacitive plate-grid coupling (phantastron oscillators); a device for pulse- code modulation of voltage into a binary digital code; analysis of the stability of the moment of synchronization of a driven blocking oscillator, and a number of other problems of pulse technique. No personalities are mentioned. References accompany all the articles. TABLE OF CONTENTS: Foreword 3 Silin. V_ R_ Duration of a Multivibrator Pulse as Function 6-f-Voltage Variations of the Plate Power-Supply Source 5 Card 2/3 SILIII, V.B., inzh. Dependence of the pulse durations of a multivibrator on fluctuations in the plate voltage supply,. Tfudy PAI no.326:5-44 16o. (MIRA 14:1) (Oscillators, Electric) (Pulse techniques (Xectronice)) 1. alLI',, V. 1. Almawov. S.-M.A.; MASTUTA F.. RTLTU -1-1-; CHUNYAYIV, G.I.; GOLOVANOV, Y.T., redaktor; Wi~,KO.Vf,--A.M., takhnichaskiy redaktor [Gymnastics] Sportivnals gimnestiks. Koskvs, VoonAzd-vo N-va obor. SSSR, 1957. 60 p. (HIBA 10:8) (Gymnastieb) .1 I I . . 11 . . .. . " * . . 1: '~ :') ' ~, . , - -, , , ~ ,, . " ~ -- - .; -- - - - " - , - ~ Z31J.. SILE;, V. 1-1. -_ "The ',ost Important Problems in in the USI~." All-Union Sci Res Inst of Villyams, L'Ooccri, 1955. (Disoerta"I-,ns Candidate of A-rIcultural. Sciences) the Production of EaY Fodders imeni V. R. fo.- the Degree of 3C: ',~nizhnaya L:~toi)1,9: I'o. 39, 24 Sent 55 DIME ER, A.A.1 DZTUBA, M.L.; BLINOV, L.F. kan~.Idat eel Iskokhozyayetwennykh nauk; BOLDTRRV, N.I., kandidat pedieogicheskikh nauk; GAT-GULIMA, Z.S. GRUDEV, D.I., kandidat sel'skokhozvaystvennykh nauk; DMOV, Ta.G.. professor; KOVAISNXO. V.D., ;KRTSINA, 0.1.; IMO, V.I.; IJV1 N.Y., kandidat sellskokhozyaystyannvkh nauk; MORDKOVICH, H.S.; POPOV, I.P. kandidat biologicheskikh nauk;SAGALOVICH, Te.N,, agronou; &T w Is- 7-y- zootekhnik; STRUTKNSKIY. I.L., vrach; SUSHKOVA-LYAKROVIGH. N.L., kandidat maditainakikh nauk-. SHAPOVALOV, Ta.Ta., kandidat sel'sko- khozyaystvennykh nau; SECCNDMTSKIY, E.I., kandidat seliskokhosyay- stvennykh nauk; WHIM, A.Tu.. kandidat meditainakikh nauks RODINA. P.11, redaktor; YUROVITSKIT, Ye.I.. redaktor;FXVZNXR, V.I.. tekhni- cheekiy redaktor. (Home economics] Domovodetvo. Moskva, Goo.izd-vo sellkhot.lit-ry. 1956. 479 p9 (KIRA 10:5) (Rome economics) USSR/Faria linilrals - General Problems. Q-1 Abs Jour : Ref Zhur - Biol., No 7, 1958, 3o898 Author : Silin V.11. Inst : Title : The Mst Important Problems in the Production and Utilization of Hay. (Vwlineyshiye voporsy pm izvodstva i ispol'zovaniyn sena). Orig Pub : Vestn. s.-kh. nauki, 1956, 110 3, 73-83- Abstract : The article gives a general description of hay resources of the forest-meadow, steppe, and desert-steppe zones of the 'USSR. The conditions required for the increase of the productivity of grasses ad the procurement of high quality hay in large quantities, the role of hay in the feed rations of different fam animals, and the ef- fecti-ieness of hay meal as well as that of hay infusion, are pointed out. Card 1/1 7 , V . N. , Criud Acr 2ci -- (diss) ";-',Ozt iii'VOrtWit COIlditicrio Of t"!; t. i of I oJ* 111,1- , Yj I (I i ts u ti I i z a Lion . " Lurii i~,--rwl-l-uslri ein , .1 fl~ - ll)i~C. LL pp; (Min.;.-Ary of Agr,icultum! bunir.i~n-ifi Arric-iltui-a) Ir,~;t); 160 copie.,;; pricf--- riot f~~,iveri; (KL, 18-60, 1'14) SILIN, V.N. Zootechny as a creative occupation. Zhivotnavodstro 24 no.6:13-18 Jo 162. (NIRA 17:3) 31;,1.1k. V. %. uInvestif-ation Of Gl-ue-Steel Junctions in Application to Sectional Wooden Bridces." Sub 26 Feb 51, MiliAgry Red Banner Enf-ineering Academy imeni V. V. Kuybyshev DisserttttionR presented for science and engineerini; derrees in Moscow durint- 1951. SO: Sun. No. 480, 9 May 55 KOBIKOV, G., knnd.tekhn.nauk; SILIN. V.. kand.tekhn.nikuk; SHHVCHFINKO, G., kand.takhn.nauk Glued-wood structures used in bridge constarction. Ayt.dor. 20 no.12:19-21 D '57. (MIRA 12:4) (Bridges, Wooden) KOBIKOV, G., dote., kand. tekhn. nauk, podpolkovnik: SILIN V. d to. kand. takhn. nauk. Inzhener-podpolkovnik; SHI-Bi~-~#. I lam. tokhn. nauk, podpolkovnik. The use of glued units in military zhur. 102 no.3-38-41 Hr 058. (Plywood) (Military enginnering) engineering. Toon.-insh. (NIIRL 11:4) m IVANOVA, Yelena Konutantinovnal knnd tekhn. nauk;.SILZ,-:VP.s kand. tekhn. nauk, nauchnyry red.; VILKOV, G.N., red. izd-va; HUDAKOVA, N.I., tekhn. red. [Glued wooden structures) Kleeriye derevianzWe konstruktaiii opyt stroitel'stva za rubezhom. Moskva, Gos. izd-vo lit-ry po stroit. i arkhit. i stroit. materialam, 1961. 82 p. (MIRA 14:10) (Building, Wooden) KARLMNIN, il,o., dok-tor toklin,nauir, pror.; BOLISIAKCV, V.V., doktor takhn.nauk, prnf.; KAGAIT, M.Yo., doktor tekhn.nauk, prof.: S7192SITSKIT, G.V., kand.tekhn.nauk, dotsont; ALNKSANDROVSKIT, LV., dotsent; BOCHKARN, I.V., kand.telchn.nauk, doteent Cdecoased]; FOLOMIN, A.T., doktor tekhn.nauk; PrinlvmLl$ vaba0lyflACLONNIX, O.Po luzb a; SILIN T, I, - dotsont. kand.tekhn.nauk; PISCHIKOV, Y.G., Icand. tekhn. naa-7-Potto sent, a nauchnyy reJ.; rV=(YV, P.T., doteent, red.: BORODINA, I.S., red. izd--,ra: RUDJAKOVA. N.I., tekhn.red. [Wooden structureal Dgrevianuye konstruktaii. Izd.3., perer. i dup. Moslcva, Gos.izd-vo lit-ry po stroit., arkhit. i stroit. materialam, 1961. 642 p. (MIRA 15:2) 1. Chlen-korrespondent Akademii stroitelistva i arkhitaktury SSSR (for Karlson). (Buildlyin, Wooden) V 1", i-~ iq,rt- iq ~o Sec P $30-145 7m 00 -V-1 F.- - Ipw. Tmw. fit, n, M,2-9 (No. 3. 510 in RUSAM with InaAdm ot -chms w&,,v on tin th. ffow" "a NO& to Qg�M VIOL ampm WK-4gwv in *4 bw A of ,m WeAswe OIK dva &.,** off-w wom"O", co~wn coaadwm*, of =oo4Mmr OOK" canrof lie in coam-d wkh emvkmbm u TIG&,Oy 446,094669994 a J&~m$md'm I * I f % $ 6 I of 1% a 1 1 I S ts m N 4 ll 11 a If a AS 9 0 111 a of 41 As it il t s 1 i L 9 111 AA A I K 1 9 V I I F 1 A 11 1 0 A L ISO 640 If. 1- . $-I. '*Dial 1 611 4778 ON TINS ULF-RMWT OW TES IlLaCTIMM. V. P. Milim., l FA~r. sbmd . I ftm. Fin Ll. #41S."Plan Nor, 002- On to) It so same So grawlsokaW effects mW prowt, mals- port" to " f"Wral I - al I a Cie 4" wu-*"ra at 00 vlectne. A cakviskMa III Uw liderectias behissis am elec- li; 0 croa and a wevive now way Am 69 in CM dawlis of k* 9 -,; I : fliergles Ohio lstwwtbm lanam" dbe espressi a for the elw1ram's a~V.om _, to a mwk blOor degree tho dme the gravilmi"m (106d. fe ILA AffALL40MICAL LITtIA14,01 CtAfIAFICAII0W w -T 0 "'e, a cretompi H-a *a-- 4 1. a a if 0 0 0 0 0 IS 0 0 0 0 0 0 IN 0 0 0 0 0 sit 3.6'. L cd a 0 1 me a .1 a 's 0 0 0 4 4 4 0 * 0 0 0 0 0 04 see '00 4*0 goo coo age '00 t:o* SILIM, 7. P. USSR/Electricity - Superconductivity Dee 51 "Superconducting Cylinder and Sphere in a Magentic Field," V. P. Silin, Inst Phys imeni P. N.-Lebedev) Acad Sci USSR "Zhur Eksper i Teoret Fiz" Vol XXI, No 12 .,pp 1330- 1336 Discusses problem of behavior of owperconducting cylinder and sphere in homogenous magnetic field on basis of new pherjaq*nological theory. Obtains expression for magnetic susceptibility, as function of field temp. Investigates breakdovn of supercon- ducting state of -3uperconductors of small size. Submitted 9 Ms~~ 51. 198T12 USSE/Ruclear Physics - Mesons Feb 52 Theory or Capture of 7T-particles in Deuteron," I. Y&. Pmeranchuk "Zbur Mesper i Teoret Fiz" Vol = No 2, pp 129-135 Pros American expts (cf Phys Rev, 81,56~, 1951),the author establishes the probability ratios of this processes: p + rr --t n-+Yceand d+Yr- -* a + n. 4- x* without application of the meson theory. Similarly be finds ratios of radiative capture: p+yr--4n+81, d.+*'.on+n+ll Sb~m-vo- Oat exact measurement of ratio of antirOin p and in d may enable one to establish number and spin ofiE andir* . Indicates the general connection mong USSR/Nuclear Physics - Mesons (Coutd) Feb 52 the processes with participation of slaw mesons in hydrogen and deuteron. Indebted to B. loffe, A. Hudik and 1. Shmushkevicb. Received 3 May 51- PACTIO of muaxow V. F ?,.Opvo.tAL 4" 22 136.9(1152) fob, itoof . fit- Cd two Suct I,f I W-Aw Rimatt"n clig"00, tral scalar I"d r.CAf& W(O A I..mi in &I 1%v C :vol", c"Upliftem Ik" (G Y.) .Ith do dit -7 V W 4F A. SPECTIOSCOPY At 8233 AEC-tz-3724 ACTING PAa3jq"1jj V- L ranslilad frok ZNr. Eka iW I Teoret. rrr~T 13P. An equation to derivei for tho function, %% 111. N ts IL Igeueraliziltion at a well kang -C-rs-q--tvn. VVI ib tho Aid of this equattom, the excitatit a (vibrAlloo) spoctr4t cf Yz~acroscoptc ayatems of lavritcLag particlas is invesUg?.wd. The quantz:m dimperstort equa 11 $too Is frvrA wblc!b conf-~ftcts *" frequency gad the logi.- rithmic d4crex"M a darupla. mth tho yibr3tion wRve Yactor tor auch it) tzm3. For nng"glbW dampir4 the vi- bration spectra of dgonerale Bose itai Y~jrtni sy&tomi. with central forces to obvilned, Ila eavi pf jnxv;-~t- teraction bat:wesm 9'. partict" Is unalyzml. (authr' LTN P- U SSR 102". On the lk*ry Q( (hv syt(cot of muld-vqt1clet, V. P. StuN. A. A~qpjr. I.-No-, TTI -2), 64 The spectiA of symmi of multi-intilck-s wkh -ntral Intcyac6on am cofuidcrcd tit high Ivnpeta- turcs (Holizmano d4tribution), as well as at kw temperatures (renni disiribution). In the region a( long witycicngths the excitations Correspond to tbcte obtained in the invwfpti-~n of the cL%%%iW We ic equation with elf-coasisicat interaction. 1A tic region of short wavelengths tbe quantum characer of the cAcitations bccoms cwntial. Tratavese Vibrations were corditkr-d in a &vAt= of placed in a medium with a dkkcuic cc--nt oe Irs's a wlu = G( onksoom Va. L 'gMtnich -Wzz;k"4-,rv. l,= State usil., u1 N44 S.S.S.R. IZI. 361-4(1062).-la order to obtain a powlUr wmpkW bgtw the quAtusa-thearedcal &w dw cluskal bvhtumt, fb* 400tom dktr#mtkm fish f(pqj) 4 exprMul In tam d tu d. Matsix, wd At Momaturn Auk. p In the ow"Mans equation for 24A b re-: PWtA%IrlOU b**SM WhOll iQtRXMAd M a a Safte , diffatm. As spvmfosatim 0 - c P "Me (w the tMintent, of edwan "*memw a Sim. Thk lamb to am expres. (or the ,=tkWk&fttj= fooWas wbk-h Is -dou 4etandoe 9M awtrom of the orsum cousidaW In. . . * of Its bdW MO. TU qwvVArkks of thr foppa4m Initial XfAtl av CA tM su"Mtw cwdy. **As- Afally to dKtm pkma a" #a Us S I? 5)0.143 Oil a IdAtivistic lfwwy at OW Inle"Cliars of amdrom. 1. L-, JAm Y- L..59jbL. AND V, YA. FAmotup. A. :A*er- 1. 3-1) rffr it is shown that a rejollivislic mallsient of two nudcons inieracting through * pscuiltwcalar trieum Ikid ~kb pwudu~cctur coupling doci m-4 altcr a prmous cunduiiun 11. Tanim, Awrojil of Physics, VSSR, 9, 4410 OV-13)) itx)ul ilm inssaWity of IN I) i(Cul h'Caul. Q( 411, potc at r -- 0. Tim pownfla ubt~ntd (join sc,:und.*rdcr gicrtutbilion thcory I. wnsi(kred. In inoshcr sixtio4s, the wiaik of Leyi fAbm. 80 (19)2)) wixvining plaudoscalar sm"i with pscud(YA.~lArcuuptinitiscomltkrcd. hisshown thm his ",ndusluns of no hinifing misif Infirtitt encri y rot the l*k.-1)mkvn sysscm. Ste isuvrni'm 4 P 4 u S S R '30. -ON 8 *AMY d bdrsetka 9f vvidem %W Y, LgMMZI#. OWP. feor.,Hz, A SO, 4, 'WO The methodafTaffun Is used to descIribe the system' of nudwa + one pseadox-alar i-mmn with paeudo- SWAScoupling. NimltmrcoWisnc&Wctcd&adau&" vadables are apamted ca In this a Im1whal IM faletswon VADWHO exc" =pOltlolto It is shown that Me high momentum oampomts Ot * wave-function of this system do mt cut off !!!TEjLUA rapyglt to 81". a anite encray.,,.b. IL "mm ONTlitSCATTERtHGOFT-MESONSOYNUCLIO.'4S. V. -P. silt . Zhur. Lksptt . I Teorct. FIz. 25. No. 2, 255-6(195~~). Drim tun) The experimental data for the scattering of meSO43 In the 8% stale determine only two parameters (scattevIng length a and ranga of force r0 In a phenowevolotfical thwiry. With a particular choice, of a - 0.33/ite and re - 1.0571/0 c, agreemrnt with experiment to oWitoed. (Sclence Abstrzdst,,____ V-R pj~~ OJA4 'WATTIR1100 OF&M2W HYMULI&OL Ard LZAXlJahUF ~Vffpekltl rig. Nault ED `!-!~IP 4 July. N Russlan) L., TM accuftwisted remits of experlaWnfaf work 0% SC&Uqr. Ing of I -mt$Oiu by Ift ItTA 1h are discm*v& ODrrQlWtJ30 09 the scattering remits to a theory of Iv-*W 10. The general theory of t-utsum scatterinli by tatlaose tad he experlintrA41 #&t& are lalerprets& The Unary of weak wW strong book bi tM IntstactIm of m-me, i &PA wnlecrA is "SWAO& 53 refereaces. PAS.3L) -61 -5 / L / Al. V. Ussllr. cle'ar Physico - 'rifave eqUUtionn FD-747 Card 1/1 : Pub 146-1'(/22 Author : Ginzbur6, V. L., -and Silin, V. P. Title : Some remarks on rclativiatic wave equations with mass spectrum Periodical : Zhur- eksp. i teor. riz., 27, 116-118, Jul 1954 Abstract : Letter to the editor. Analyze equations from works by H. Yukawa (Phys. Rev. 91 [1953)). A. Pais (physica, 19 [1953)) and J. Rayski (Nuovo Cimento, 10, 119531) and the reasors, for the divergences in computations. 11 references, including tte 3 mentioned foreign. Institution : Physical Institute imeni Lebedev, Acad. Sci. USSR Submitted : April 19, 1954 USSR 7" M the RWM of exted of MANI P. ~k 0 zh. I Fir.. ri, NO. Z)- ikya"Jjj" 0 1 Ran. The lnfluciii-Wjf~ -correlation of paritcles arisin from their ldcntioy (from synvneffliallott or ant - symmetrizatlon) an ilia statistic3l distribution functio i for many rwficlc-i is in%xvigated In lint order im I, s cfrecti. The spectrum diffiers only slighily firmn IN I gisenbyll)owlf-consiittiitricldnppm,Kh. fils-Owma that this latler appmach is Inapplicabic- In an ck-xi nit - lon phtsma ir the intcraction cncrgy bctwrcn juirtict r k comparable to 11wir kinclic cnergy. u. t imM 4 f UMM 111n, V. p., on a Modifled T method. k~ M~ --nx, 27, 754-756 ~1954), (Russi") Dancoff 0 MM amm and Lrsing the metliod or n -460 (1945)] the -U' , nOV:,- At, Arad. Sci- USSR. Phys. 9, 449 4 ordneq.,sp t.f. t1p tjje Ka f gat d one IM-tqp dic pri'.1ton aai aluill- It is fillowil how .1 thl~ lowest approxill). Armin I hv idlexg of M. C ivii [Nua-vil Cinwato (9) 10, 6'4--(;2'j --V~j.-Dyson (Princrt MR IS- 7(,il. --- SILIN, V.P. & - I_: . qiantum kinetic equations in the study of the spectrum of a many- -particle system. Trudy Fiz.1not. 6:199-268 '55. (KLU 9:5) (Particles, Blementrary--spectra) (C4iantum theory) '-7:331i,,'Nuclear 1,1visic-, - Excitation t3Fectrum of =V-particle system FD-235b Card 112 Pub. 146 - 230/34 Author 31lin, V. P. T i t I- Concerning the article "Spectrum of excitations of a system of many particles" Periolical Zhur. eksp. i teor. fiz. 28, 749-750, Jun 1955 Abstract By considering the correlation of jarticleE which is due to thiix identity one can distinguish the correlation of particles which are in identical spin states and the correlation of particles which are in different spin states. In hiz-, earlier article (JbLi- 27, 1954) the author utilized an approxinuition of the binary function of distribution, lihich approximat--on corresponds to tak.- ing into account the correlation due to the identity of partic2,~s which are in identical spin states. In the present article ti- author considers the case of the electron, as against the case of Bose particles without spin. He finds that the spectrum of excitations of a degenerate Bose gas of pa--ticles with unit sy:~L possesses the form of a spectrum of noninteracting particles, a spectrum not satisfying the condition of superflui-Jity. He -I r'.'jlc' FD-2358 th-r-k--fore con(.1ujes that the sulerflui,11ty of helium is al:parently due to not only Bose statistics, but allso ;ibsence of spin in the atoms. He thanks Professor V. L. G'Lrzburg for Judging the re- sults. 1 ref. Institution : Physical Tnstitute im. P. N. Lebedev, Academy of Sciences USSR Submitted : FebruarY 7, 1955 C 1~11.1 530.14! Method of truncated IkM equatlems sad Its w6.tkm to The scattering of amsom by nwiewn. V. P, Snjw, 1. F. TAmm AND V. YA. FAtNstva. ZA. -*kvv-TF6r-f7z.,29, No. 1(7).(~19(1955)ln Rumisen. The so-calkd Tamm-Dancoll' method Is reformu- fated, beginning from covariant equations. Frort these. equations in threc-dimemionid momenlurs space am obtained. Bourselary con&tiom am cov- sidered, Dyson's formulation in the physical vacuut-i (Abstr. 3834 (1953) 66, 97 (1934)1 Is applied and the relation to the old formulation In the bare vacuut.-i discuitscel. The systeer of mewn + nucleon is cot - sidered, takfng Into accoi nt coupling with amplitude a describinj three or few virtual partic-k-i. Resul,s obtained numerically by nsidellon to S- andP-wivi j siv not Included here, but will be reported stparxtel!. Renormalizafion Is briefly considererd. a. z. %to% -4 1) 4 1 q 47-1, (07 iv,L.: .4 20?5. INFLUEN" OF INTER-ELECTRON COL SIONS ON THE ELECZMAI, CONDUCTIVITY AND THE METAIZ. V,L.%MburS,1AdV-P-RJl1P_ toot. FU .. V tin *1(_7 Zh_ MP*rN In R 1.. an ussian. Bentham and Kronig!s statemem that the electr a vtscos- Ity In metals, resulting from Influence$ the absorptivity of metals for VierM.Mg =Was Investi- gated. ThIs w"d be important in metal-apttes, alittrical and thermal condiketivity, abn efted ate. It was Jo ind that the above vANorki' trethod Is Incorrect, &M their rosulls wrong. Except for very high frequencies, the effecz a( elec- tron Interaction are negligible. Electrical Research Association a~e ~tz. a'uk, VLA. 56, Vo, 4, 569-635 Rugmian. Perturbation theory to nnt completoly sticcess*ul 1,~ Itj tgeatment of quantum_;DSM.0 dyaajrnj~~q, It is rece 5Firy to use methods of solution not associated with _,tcp-by-stvjj ~n:tly- stm of the Interaction constant. One such method, to which much effort has been deyoted 1L, them last_ three years to thRt EA Tamm uA Dancoff. The present arlicle sets out the basis of the method and Its application to v2jrLous concrete problems of the quantum theory of mesons. The old T.-D. method to discussed In conventional and cnvartant forms and Its appll- cation to the Interaction of nucleons, interaction of i -mesons etc. The new T.-D. method is also appll&d to these problems. C.R.S.MaMers Ost4lih V. ? It ._: . truntitted fieffequations and h* application to 3 ,~ of utesons by nucleous. V. 11. Silitt, 1. F. - and V. Yu. FaInImIg. Soviet IAys., 7111? 2. : 3-13(1056)(Lngf. C.A. 49, 15512i. wy -at 46 an obstacle for a van-P omenof I n Y of energy im of Wids. in me t I!ue OOrM4~;ts7ThC pteSent j with wvue=ions watecl to the atwnt- fatt"ctlors. inetic- suatru quaatwu ewm. tions for electron luteractims sod cousklem Wr - (small U valut3) with or small damping effect. Calcrw -show that the Interactions practiowy disappe" *hw the "Ciiation energy is smail M, compansion with ate; kinetic energy n(partictcq. This Is expected to happen at I igh dtn- sWts of the dcCcocrAted clectroo gas, e-g~ 10" P4": rcm. % per n njany MCUIS ffie Rwiron cc., as W metals At. At', Cu- L tbvuguitudd of CmTections Gall. 'lye USSR-!A1.:,miz and M,-,Lecular P~4ysica - Ww Temperature Phy3ics, D-5 Abst jjtLna1: Referat Zhur - Fizika, No 12, 1956, 34-1~31 Auth~ r: Silin, V. P. T.nst-Ituticn; Ncne Title: ~On)Certain Thermodynamic Inequalities OrIginal Pericllcal: Zh. eksper. i teoret. fiziki, 1956, 30, No 1, 197-199 Abstract: Thermodynamic inequalities are derived for nubstances, having magnetic and diele--tric properties, and certain conclusions are made in the form of equi- l1brium magnetization curves of the magnetic material. The conditions of thermo- dyramlc equilibrium of superconductors are analyzed. / Ole/ - 1 - USSR Vaj;n,tinm. Magnetic Resonance. F-7 Abn J ur i 1(of Zhur - Fizika, No 3, 1957, 6901 n Aut. or t Silin, V.P. Inst 3 Physics Institute, Academy of Sciences, USSR, Moscow. Ti tle i Tho Kinetics of Paramagwtic Phemosena. Orie Pub s Eksperim. i teor. fiziki, 1956, 30, No 2, 421 - 422. Abstract : Starting out with the kinetic equation with vector pha3e space magnetization density, an equation is derived for the variation of the density Id (t) of the magnetization of the conduction electron of the metal in a magaetio field. Ao- count is taken here of the collisions between electrons in thermal motion, accompanied by a. change in the directions of the electron spins; the resultant equation therefore des- cribes the spin-lattice spin relaxation :)rocesses. The au- thor's results are in agreement with Dysonts work iho deter- mined by means of complicated calculations M(t) with allo- wance for the diffusion of the electrons of the metal. Card 1/1 AUTHORs Silin# V. P. 56.-2~6/4T TITLEt (Note on)the Theory of a Degenerate Electron Liquid ( K teorii vyrozhdonnoy eloktronnoy zhidkosti) PERIODICALi Zhurnal Eksperia. i Tooret. Fisiki., 1957t Vol. 33, Nr 2(a), Pp. 495-500# (USSR) ABSTRACT: The object of the paper under consideration is the expansion of Landau's theory on a degenerate electron liquid. Landau's theory Termits a phenomenological consideration of the correlation of totrons. The modifications must be investigated, which are cau- 4d by the limited effective of the forces acting between the M atrons. The theory by Landau of a ferai-liquid and the approxi- mation by Hartree-Fook: At the outset those theories are compared in their application to the kinetic equation considers& in-a line- ar approximation. The corresponding states are differing onV lit- tlefrom the homogeneous equilibrium states. Landau's theory of tho forai-liquid takes no consideration of the effects, which are pos. sibleif the effective range of the forces is of the aeas oader of magnitude as the inhosiogeneitios of the liquid. For thin reason this theory cannot be applied immediately to the Coulomb interao- tion. The energy as a functional of the distribution function,in the cast of Coulomb interaction of particless Because of the con- siderable &*If consiating interaction of the partials* the energ) Card 1/2 of a single partials is dependent on the state of the surroundiN AUTHOR: Silin, V.P. 56-5-2JV46 TITLEt Oscillations of a Fermi Liquid in a Magnetic Field ~Xolebaniya Fermi-zhidkosti, nakhodyashcheynya v magaitnum pole) PERIODICAL: Zhurnal Eksperim. i Teoret.Fiziki, 1957, Vol. 33, Nr 5, pp. 1227-1234 (USSR) ABSTRACT: Kinetic equations for the case without a magnetic field were set up by Landau (ref.2). Theme equations are now extended to the assumption that the spin oscillations of a Fermi liquid Wre place in a magnetic field. Further, the spin oscillations for the spatial- homogeneous case are investigated and the fzvquencies of such oscil- lations are computed. In this case the frequencies are limit values of the spin wave frvquenoles if the wave lengths tend towards in- finity. The presence of a constant magnetic field makes it possible that the spin waves are propagated in real, liquid He3. There are 6 Slavic references. ASSOCIATION: Physics Znstitute imeni P.N.Lebedev AN U3SR (Fizicheskiy institut im.F.W-.1ebedeva AN SSSR) SUBMITTED: May 6, 1957 AVAILABLE: Library of Congress Card 1/1 AUTHOR: Silin, V.P. 56-5-34V46 T ITLE.- 'On the 1heory of Anomalous Skin Effect in Xettax (K toorij ancMI'Doso skin-effekta Y metallakh) FMODICAL: Zhurrial Eksperin6 I Tooret.risildo 1957, Vol. 33, Mr 5, pp. 1282-1286 (USSR) ABSTRAM The attempt is made to explain the phenomena of the ancemlom skin effect by means of the theory of Fermi liquids modified by Landau, and the author extends this theory to & degenerated "electron liquid". It is shown that what in known about the Pend surfaces, which are obtained from measuring the surfaoo impedance within the domain of the anomalous skin effect, does not depend on whether, in the case of electron conductivity, the eleotrons are regardod am a gas or as a degenerated liquid. It is shown that, when exploiting experimental data, the use of the isotropic natal model reprosents a good auxiliar7 for the purpose of easily computing its parameten Yo (electron velocity on the Fermi surface) Po (electron momentum) and A a 2 f a 9 008 X p ( cog X ). There are 9 references, 5 of whiah P; out 1/2 are Slavic. sov/ 56- 34- :,Ptical Pru-,~Qrties of .1el.-JO in thu Irifrartad 11-a.-~-e o svoyotw,~%.h net_.,llov"~infra!,-.ra!2?1oY oblasti) P Z"R I OD I CAL: "'hurnal Z1:3nerivientaltno.,i i Teoreticheskoy Fizil:i, 1958, Vol. 34, IIr 3, p~ . 707 - 713 (USSITI) AB,;TRACT: _111elle oz)tical properties can be described b_ Landau theory for the Permi liquid. The present iurk Shovis that th,.~ results obtained by it essentially differ from the correuponding results fror.,t the usual electron theory of me- tals. First the author shortly reports on earlier work's deal- ing vith the same subject. Within the range of small frequencies where the static characteristics of metals can be nei;lccted this theory based on the conception of electron liquid does not differ from the usual theory. The same applies also for a clearly pronounced anonalous skin effect. First an equation for the description of the electrons of the quasiparticles of the degenerated electron liquid - is given. The collision integral of the Fermi liquid coincides with the usual one. Card 1/3 The equation just mentioned is then specialized for the infra- SOV/ 56-,Vt-3-26/55 Optical Properties o,' Hetals in tho Infrared Rzin-e 0 red r,~nCe and put down in zero-t'-' a,;Prox_i._-.ation. From this can then easily be determined tlic zero-th anproxi-mation of as tlie complex tensor of conductivit- 6~~p "Y well as the correspondinG tenuor of the complex dielectricity constant. Also for the surface impedance of the metal a for- mula is put down. In zero-th approximation the density cf the electric charge is equ 4l to zero, and the continuity eqw-tion then has the form div j - 0. ~-'he expression for the surface impedance obtained is purely imajinary. Then the author in- vestigates the case where the collision inte--ral and the term containina the constant magnetic field strength are essentitl- ly greater than those terms containing a derivative with re- spect to the coordinate. The resultin- expression for the density of current is put down. Also the case where the skin effect is neither normal nor anomalous is of interest. This solution of the problem is, however, Iractically already contained in the results given. The perturbations leadin.-'- to the correction of first approximation enter the correspondin~z equations in an additive way. An expression for the surface Card 213 impedance in a Ceneral case 13 put down. The results obtained SOVI 56- YI - tlio 'n';-- red Rwijc -'ct i, 0 o r, ..e 10 in (?33(j-ritially 3ii,iplif i -d -;~,eu t1,, i.v~,tal can be rej , r ed a izootropic. -umu fomulae lound earlier are here ope- .-i , Thers., are --ilized for thii, case. 10 references, 1") of which r are Soviet. Fi,-,iches%iy institut in. P. 11. Lebedeva A-kademii nauk 33SR (Inatitute for Physics imeni P. U. Lebedev AS USSR) S 113.'- 1 .'T"; D: Ortober 1, 1957 AUTHORs Silin, V. P. SOV/ 56-34 - 3 - 5 5/ 5 5 TITLE: on the Theory of Plasma Waves in a Degenerated Electron Li- quid (K teorii plazmennykh voln v vjrozhdennoy elektronnoy zhidkosti) FERIODICALt Zhurnal Eksperimentallnoy i Teoreticheskoy Fiziki, 1958, Vol. 34, Nr 3, Pp. 781-782 (USSR) ABSTRACTs According to the theory by Landau (reference 2) of the Fermi liquid the kinetic equation for the non-equilibrium additio- nal part 8n of the distribution function of the quasipartic- les (electrons) of the degenera ted electron liquid reads Sn a - n + V j_r n- SE no ~ + ei 7 -4-1~ , 0 _7 _t IS &0 6 o no denoting the distribution function holding for equilibrium and F_o the energy of the electron in theequilibrium state. The author investigates the,, solutions of the above mentioned equa- tion in the form en e(i - - i Qt) and is interested in the case .k kr Card 1/3 of long waves, which makes possible an expansion with respect On the Theory of Plasma Waves in a Degenerated Electron SOV/56-34-3-55/55 .'iquid to the powers of k. On the condition that the Fermi-plane is a sphere the following dispersion relation is obtained for the dependence of the frequency 0 of the plasma waves on the vector within the range of long wavost 2 2 2 - W 0 + v 0V0((3/5) + A0 + (4/25)A 2)k V0 and po denoting the velocity-and the momentum of the elec- tron on the Fermi liquid; Ao or A2 respectively denote,the coefficients of the development according to the Legendre- polynomials. An . 0 holds f;r"a*n idejtl Fermi gas of the elec- trons, and the last mentioned formula transforms into the corresponding formula of the previous work by Golldman (Ref 1). The author then estimates the coefficients An for the case that the function f is determined by the amplitude of the scat- tering to the front. This amplitude is here computed in the Born approximation for a screeninE Coulomb potential. When the anisotropy of the metal is taken into account in the ap- proximation fA) 2/ Lr2 ~> k2 >) &j 2/c2 ( where c denotes Vight velo- 0 0 0 Card 2/3 city) also the term of longitudinal waves can be used, Then an On the Theory of Plasma Waves in a Degenerated Electron WV/5(>-34,- 3 - 5 5/ 5 5 Li quid equation is given for the determination of the frequency of plasma vibrations. All which has been said here can refer to real metals onyl when the~enery of the plasma vibration is small compared to the distance from the conduction zone to the next filled zone. The dependence of the f "',requency of the plasma waves on the direction of the vector k can lead to a widening of the line of discreet losses of electrons on the passoge through non-cubic metals. There are 4 references, 4 of which are Soviet. ASSOCIATIONt Fizicheskiy institut im. P.N. Lebedeva Akademii nauk SSSR (Physical Institute imeni P.N. Lebedev AS USSR) SUBMITTEDs January 2, 1956 Card 3/3 uscanxt-Dc-60,620 24 Sil in ? s T 1 -2 L E of f Co- Of o L-."-. ~7 v:v-, v V o I 2 S7 On, e o f t--. o 1~.-,Dbl' a:., o o c. c r ~j io t"-.C, invus C t I U of t-. f 'o T n o AL j u i in'LD if 'ion dc-eLl, tic fioid 1.; t': c path length -~f ve::t t ion of o tical. ~i-:j ,L,:,t n 0 0 f ,.e -'uz; :"J", efr-~'.t iL c- r:-i - t tio a micv~)_-copic-l t'-'co.,Y "Rc,':- 1-7)- 1'-. t I t i ~ i i i Card 1/ 3 fi-_,c path 1engtIr c c n s T of t, ic I i:_, of' -k i of 0 t G""! f r') on --fL~cc of L'.c; I t i t.. t 3 t i,).,. falls r z j c0 ~)r Z. %n c of Z~. it holJ~~ t: D (w E c 1: 63 o r V/C nd 1 .1. (1-lt Y(W) ,J,~",.Dtes tllo~, d t I A ve ~ t o r on t,-. I z ti -a c eW J- t-. t' e r i.1 e, t i n 3 and t~-,e Llax-sell equations (,! Z:.,~Zvell) et-l".".tions for t'-c, com,~lex r--flection- an~ t'.-le comi;1ex refr!'.c t i on in 1 i cer, ~: re 0 e ri ve d t'le, case 4 i~-, inv(.,.-ti;, Aed. It is- ohown ",-, , f f e c t i e, C,-.,rd 2/3 complex refrL:,c.,tic)n ~Je-.,, nd or, t~-.e t T C-oc Q ASSOCI T 101 for r. t"'.a 0 "not1wr t -: Aif' tion of t:.~- incident t to 0 1, F t t v T E pf f ~;-i'y ~-.tj "Ut f 21 ~UV/56- 35-5-2'1/56 AUTHOR: Silin, V. I-. TITLE: Oscillations of a Degenerated Electron Fluid (Kolebaniya v,yrozhdenno,y elektronnoy zhidkosti) Pr~'-IIODICAL: Zhurnal eksperimentallnoj, i teoreticheskoy fiziki, 1958, Vol 55, Nr 5, pp 1243-1250 (USSR) ikB~`TRACT. The author of the present paper inve3tigates the oscillations of Lsn electron fluid on the basis of Landau's theory of the Fermi fluid (Ref I). An investigation of these oscillations by means of the general theory of the degener~ited electron fluid permits consider%tion of the longitudinal plasma waves as well as of the transversal electromagnetic waves (Refs 2-4). Here the in- teraction between electrons which ik; caused by the electro- magnetic field is taken into conside!ration. This consideration is, however, of use only if interac-.ion between electrons is imall com;,ared to their kinetic energy. If this is not the case, the exchange correlation of electrons changes the kinetic equa- tion (Ref 5). The theory developed by Landau has already been discu6sed (Ref 6). The author bases his investigations of elec- Card 112 tron fluid oscillations upon an equation of motion (according to Oscillations of , Depenerited Electron Fluid SOV/56-35-5-27/56 AS~;OCIATION-. :;UBIaITTED: reference 6) for quasiparticles as well as on the Maxwell equa- tion.s. '4ithout considerin1g, spin-orbit interaction, plasma waves, electromagnetic waves, zero sound and spin waves are investi- gated. A major part of references mentioned in this paper are enrlier papers by the same author. There are 11 references, 10 of which iLre Soviet. FizicheaVij institut im. P. N. Lebedova Akademii nauk 3SSR (Physics Inotitute imeni 11. N. Lebedev of the Academy of Sciencea, U:~.'A) May 31, 1956 Card 212 SILIN, V.P. Detemination of the effective mass of carriers and optical constants of g9miconductors. Fis.tyer,tela I no-5:705-708 MY '59- WRA 12:4) 1. Fizicheekiy inatitut im, P.H. Lebedeva, Moskva. (Semiconductors) A 05482 AUTHOR: Sili . y P sov/i4l-.2-2-7/22 TITLE: Electromagnetic Fluctuations in the Media Having a Spatial Dispersion PERIODICAL-, Izvestiya vysshikh uchebnykh zavedeniyj Radiofizilca, 1959, Vol 2, Nr 2, pp 198 - 202 (USSR) ABSTRACT: The theory of electromagnetic fluctuations (S.M. Rytov et al. - Refs 1-10 shows that if there exists a local functional dependence between the induction and the intensity of the electromagnetic field: Di (r) = eij (W)Ei(r) , Bi(r) = 11 ij WHi(r) (1) the correlation of the random inductions is also of the local type. Some corollaries of this theory can be derived from the following formula (Ref 4), which deter- mines the fluctuations of the electromagnetic field in an infinite isotropic medium: Card 1/6 of') 11" SOV/Ail~!2-2-7/22 Electromagnetic Fluctuations in the Media Having a Spatial Dispersion 11W ell 2' 2 Rc 2. The left-hand side of Eq (2) is related to the average value of the product of the field components by means of Eq (3),, In the above equat~ions, the notation is as follows~ R = r - r got (W) is the itaaginary component of the permittivity + ic") ; w is the frequency of the electromagnetic field (which is a sinusoidal function of time); T js the teiiiperature, I-x is the Boltzmart consLant. Card'-1/6 SOV/141-2-2-7/22 Electromagnetic Fluctuations in the Media Having a Spatial Dispersion The peculiarity of Eq (2) is the presence of the 6-function in front of the term which is proportioial to the imaginary component of the permittivity; this leads to infixitely high fluctuations of the electric field in dissIpatIve media, This singularity corresponds to the longitudinal field fluctuations. The singularity can be eliminated if the equations are constructed which permit the existence of longitudinal electromagnetic waves so that to each frequency w corresponds a wave having a definite wave vector k The spatial dispersion of the electric field can be taken into account by employing Eq (4) (V,.L. Ginzburg - Ref 5). The induction and the intensity of the electromagnetic field are related by means of the integrals (V.D. Shafranov - Ref 7); Card3/6 0502 SOV/141-2-2-7/22 Electromagnetic Fluctuations in the Media Having a Spatial Dispersion D,(r) = dr'Q D (r, r'; OE (r') I I I ii - - i - D (r) = dr'Q B (r. ri; OH (r') L I I i - -, i - (5) where the kernels (P and Q11 may be dependent on the form of the raedia considered. In order to investigate the fluctuations, it is necessary to add to the right-hand sLde terms of Eqs (5) two random functions K and L which denote the inductions of the electric and the mag- uetic field, respectively. The correlation of these inductions xs expressed by Eq (6) (Ref 4). The Maxwell equations, when vrritten in terms of Fourier components, are in the form of Eqs (7); similarly, Eq (6) can be Written as Eqs (8). On the basis of Eqs (7). the fielAs are given by Eqs (9). From these and Eqs (8), it is Cald1416 possible to derive Eqs (10) and (11). By employing an o5482 SOV/141-2-2-7/22 Electromagnetic Fluctuations in the Media Having a Spatial Dispersion inverse Fourier transformation, the average value of the product of the electric.-field components is given by: Ei(r,w)Zi (EI'WI) = OCI(E)ICi(EI))W 6(w + WI) 41W 21i6 (w +, w I) cth - Iij (R, w) (12) 2ILT where fij is expressed by the next formula on p 201. The correlation function for the longitudinal fields is therefore given by Eq (13). Now, if the equation which permits the existence of longitudinal waves is in the form of Eq (14), where a and P are real, Eq (2) can be written as Eq (15). The first component in square brackets in this equation corresponds to the longitudinal Card5/6 field, while the second component represents the transverse 06482 SOV/141-2-2-7/22 Electromagnetic Fluctuations in the Media Having a Spatial Dispersion field. It is seen that Eq (15) does not contain the singularity in the form of 6(R) . Further, when the complex permittivity tends to zero, the fluctuations of the longitudinal field do not tend to an infinitely large amplitude but, on the contrary, tend to decrease. The author makes acknowledgment to V.L. Ginzburg for his interest In this work. There are 10 Soviet references. ASSOCIATION: Fizicheskiy institut im. P.N. Lebedeva AN SSSR (Physics Institute im. P.N. Lebedev of the Ac.Sc.. USSR) SUBMITTED: January 2, 1959 Card 6/6 AUTHOR: Silin. V. P. SOV/126-7--5--2/44 TITLE: bR_fH_e_TFe_Ory of Conductivity~' Pi,~RIODICAL: Fizika metallov i metallovedeniye, 1959, Vol ?, Nr 3, pp 331-334 (USSR) AB-STIIACT: The usual theory of conductivity of nietals (Ref 1) is based on the assumption that -the conduction electrons may be looked upon as a gas of non-interacting particles. In rea.';,_ity the interaction between the electrons is not small (Ref 2) and it ic, therefore natural to suppose that many of the results of the usual theory of conductivity might be incorrect. This means that it is desirable to set up a theory of conductivity in which the conduction electrons are looked upon as a degenerate electron fluid. The pioblem may be solved using the Fermi fluid theory put forward by Landau in Ref 3 and treated by the present author in Ref 4. It is shown in the present paper that the theory of conductivity based on the electron fluid idea leads to the same results as the usual theory. The phenomena considered are: electrical conductivity, thermal a)nductivityland Card 1/2 thermoelectric galvanomagnetic and thermomagaetic effect st:'~ On the Theox7-of Conductivity SOV/126-7-3--2/44 A similar result is obtained in the case of liquid He3. There are 7 references, 5 of which are Soviet, 1 English and 1 a translation from English. ASSOUATION: Fizicheskiy Institut imeni, P. N. Lebedeva AN SSBR (Physical Institute imeni P. N. Lebedev, Ac.Se..USSR SUBMITTED: November 20, 1957 Card 2/2 VAn ~14U, ~)ilih, V.2. -rld i3tiSOV, Ya.F. SOV/51-7-4-1b,/32 On th3 Optical ?roparti-3s of -or-Al Films in the Rei;ion of ~,noaalous c:) I ti. Oatica I ;; ooktroukopiya, 1959, 'Vol 7, 1 r 4, op 547-531 (US'R) L IT. T Thin ftl-b car, L)3 ubed to deter.-Ine optioal coitstants c1f, conductors. Th3ory )f th,3 a 'Aical propirtios of fiL,Ls ~As "oually jieSlectod una--;~Llous Licin 9fAoct, !'.,hich lu vsry Important in wany wetils (Refs 2-4). Th3 x-atriorti eill tl-ib .-Ip by con.;idaring optical properties of wataLl kcon~uatIr,;jfi1.,...; in tne cA:s,3 i;iien the surface losses due to the difl'use scattarin6 Of elec-.rons at the surface carnot be neglected. For..Aula,3 are L;Iven for the phase-shifts of reflected (cL; and tr:.-&nswi,~tod (.01 waves for the reflection (A) and transmission (T) coafficiaatr. ~-nd the ubborption coafrician-e .'. = I - it + T. They are Aven both for s-olarization (Eq.-; 7-11) und p-polarization (Eqs 12-16j. ,'h#3 f or,~u Ift s iwp-. i f y considerably in the limiting cases of very 60'VI51-7-4-18132 G.. i;ii-a C.~-Acai .1roLart135 Of -ZZ~Al in tkI0 .'06ioj , -in 3fiect of -aal%lous " A'IL-s ~iad ,"ssivo cmiductorra. Furth-,,r si~plificaticn occurs ---h,lln t~i3 r-.ul ;:A'.'* Mf -;3r..jjtrjVity Jb conuidorAbly larder than unity. e r I b e r. 5 1 ythoor3tical. 'hero aro t, references, 3 of which I 'OV15t, 1 iish, 1 Dutch and I aixed (Soviet, 3n~lisli and 3 r.;.Un it)-r-l L ry 18, 195~., 24(4) AUTHOR.- Silin, V. P. sov/56-36-5-2i/76 TITLE: On the Problem of Optical C-~nstante of Conductors (K voprosu ob opticheskikh postoyannvkh provodnikov) PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1959# Vol 36, Nr 5, pp 1443-1450 (USSR) ABSTRACT: In an earlier paper (Ref 11) the author investigated a theory of the optical properties for the case of an inclined incidence of radiation upon the surface of a massive conduc- tive body. The anomalous skin effect is taken into account by the introduction of a boundary Gond-tion on the surface of the conductor. The surface resistance thus taken int3 account leads to an additional loss which cozreznonde to the dIffusion scattering of the conductivfty eleLzrons in the metal surface. In the present paper the prob-Ir-m. of determining the complete set of optical constants and t-he fluctuations of the e1eGtr,:,- magnetic field and the relationF in conaidera- tion of a boundary impedance z is discuesed. The imp*,dance Card 1/3 is connected with the surface j?irreat density i and he On the Problem of Optical Constants of C,,nductiors SOV/56-36-,5-21/76 tangential components of the clect=4-c field according to E-n r(&)) denotes the complex surface 1 (60) t ( n conductivity and i? is the e-tt-ernal ver'.4-cal on the of the conductive body. For ar-inotropic conductcre and --iiia crystals it holds i0C - rat 0Lp , where A.9 is the two-d:~m-en- sional surface tensor. In th-a following, conditions a=j discussed first without considering the anomalous skin 9-ffect of D EE and the complex dielectric constant (n-iX~ = E.1 + iE2 and then in consideration of the anomalous skin effe-3t if D = C-E+ aAE + b grad div E It is shown among other thinCs that for an isotropic conductor two real quantities that corzespont~ to complex boundary impedance, must be taken into account besides the refraction index n and the absorption constants )C . The real part of the boundary impedance determines the surface losses, and the imaginary part of F_ determines the volume losses. The relations are discussed which exist between the real- and Card 2/3 the i1maginary parts of complex surfaca conductivity. On the Problem of Optical Constants of Conductors SOV/56-36-5-21/76 For the field components of an isotropic metal in the semi-space a correlation formula is derived and discussed. There are 7 references, 6 of which are Soviet. ASSOCIATIONz Fizicheskiy Institut im. P. N. Lebedeva Akademii nauk SSSR (Physics Institute imeni P. N. Lebedev of the Academy of Sciences, USSR) SUBMITTED: November 5, 1958 Card 3/3 21. (6) AUTHOR: Silin, Y. P SOV/56-37-1-40/64 TITLE: On Collective Losses of Fast Electrons in the Passage Through Matter (0 kollektivnykh poteryakh bystrykh elektronov pri prokhozhdenii cherez veshchestvo) PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1959, Vol 3T, Nr 10), pp 273 - 282 (USSR) ABSTRACT: The present paper deals with t'.1e problem of losses of fast electrons which pass through thin films from the point of view of the theory developed by I. Ye. Tamm, I. M. Frank, and E. Fermi (Ref 1), taking spatial dispersion of the dielectric constant into consideration. At first, a short report is given on the general stage of the problem. Spatial dispersion leads to the circumstance that the dielectric constant in a tensor even in an isotropic medium, and has the form k k k k tr ij _ ::~Ij + :!U 61 (p, k) y Ftr Eli (0, k Z (0, k) 16 k k2 and S de noting the transverse and the longitudinal dielectric constant. By use of the afore-mentioned formula, the author finds an ex- Card 1/4 pression for the energy loss of a fast charged particle per on Collective Losses of Fast Electrons in the Passage SOV/56-37-1-40/64 Through Matter unit of length in the passage through matter: W - le2 z2+00 odw 00 qdq 1 1 2 2 2/v2 Y11r,"Tr Wv q +&a q 00 0 v q Ze denotes the charge, 2 2 2[ -2 -2 tr(,Jlr-2+,F/.2 c q +&j v _c E q ~j I - and v the velocity of the fast particle. The first summand in the curly bracket depends on tae emission of longitudinal waves, the second summand by the transverse Chereakov-radiation. As ordinary collective losses of fast electrons are just con- nected with the emission of lcngitudinal wavesp the author con- centratee his attention upon the first summand in the above formula. An expression for the probability of scattering of a fast particle per unit-leneth of path into the angle de with emission of a longitudinal quantum (Plasmon) in the frequency interval dw is then written down. The experimentally measurable Card/2/4 quantity is therefore Im [,IF-I(o,k)3,and this very quantity dn Collective Losses of Fast Electrons in the Passage SOV/56-37-1-40/64 Through Matter must be determined by the theory of collective losses by using one or the other model representations of the electrons of the medium. The author then finds the corresponding expressions for El for the case of an electron gas of high density and for an electron liquid. Further, certain particularities of the losses of fast particle:o(which are connected with a possible excitation of the zero und) are discussed. For the spectrum of plasma vibrations, the expression 3 2 k2 1 2 2 PO . 2 OL k is obtained. The longitudinal C-10 - 5 2 6o 2 0 p 0) dielectric constant of a degenerate electron liquid is then calculated according to L. D. Landau's theory (Ref 3) of the Fermi liquid. In the next parl, an expression for the proba- bility of scattering of a fas-t electron per unit-length of path with emission of a longitudinal quantum is found, and some con- clusions for that range where the spatial dispersion is no longer weak are also discussel. The next part deals with anotbAr Car-1 3/4 possibility which leads to a dependence of the amount of dis- On Collective Losses of Fast Electrons in the Passage SOV/56-37-1-40/64 Through Matter crete losses on the scattering angle, and is not connected with spatial dispersion. Such a pos&ibility results in the case of optically anisotropic media. Fcr relativistic electrons, the role of transverse quanta, and particularly the Cherenkov-radi- ation, must be considered in the investigation of losses. The author thanks V. L. Ginzburg and L. D. Landau for the kind clis- cusaion of some problems. There are 18 references, 13 of which are Soviet. ASSOCIATION: Fizicheskiy institut im. P. N. Lebedeva Akademii nauk SSSH (Institute of Physics imeni P. H. Lebedev of the Academy of Sciences, USSR) SUBMITTLT: February 23, 1959 Card 4/4 240). SOV/56-37-1-23/'64 'AUTHORS: Zharkov, V. IT., 411,ig TITLE: The Theory of Weak Solutions of He4 in Liquid H93 (Teoriya slabykh rastvorov jje4 v zhidkom Ed) PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 1959, Vol 37, fir 10), pp 143-153 (USSR) ABSTRACT: The present paper is concerned with the therm9dynamice and 3 q in liquid Ile the kinetic phenomena in weak solutiona of He In the case of such a solution, 2 kinetic coefficients are to be considered in addition to the viscosity coefficient and the heat-conduction coefficient x, i.e. the diffusion co- efficient D and the coefficient of thermodiffusion Dk To k denoting the thermodiffusion ratio. These coefficients T kT are determined by the equations T - -QD( 7 c + -V T) at T _+ -30 - - 0. ? denotes the + gFermi - 0, -xV T at ? - 9 . gim p _* current of impurities, q the heat flow, g the total current of the momentum in the solution; the latter is compos-%d of 1 the momentum transferjed by the impurity excitations g, 1mp Card 1/ 4 and of the momentum g. transferred by the Fermi The T'heory of Weak Solutions of He 4 in Liquid He3 SOV/56-37-1-23/64 excitations. Instead of the usual deviation of the distribu- tion function ofthe Fermi excitations from the equilibrium value bnf a certain effective expression On 6n,P -we f6njf("P*,_P"1)dT1 enters the collision integrals caused by the scattering of the Fermi excitations. But the same expression appears, instead of the usual 6n4,,in the formulas for the various currents determined by Fermi ex- citations. This is why the form of 6n is not observable in the calculations. The first part ot the present pa3er deals with the'thermodynamics of weak solutions of He in liquid iie4. The authors investigate the conditions under which the dissolved He4 atoms can be described by Boltzmann's statistics. The deviations fron classical statistics occur at those --temperatures at which only the interaction of the impurity excitations between each other, or the quantumlike degeneration of the impurity gas, are essential. The spin of the atoms is equal to zero, and the temperature T of the degeneration of the impurity eas is therefore equal ?o To = . 22 2/3 - 2/3 1/kM)(3 2/3 denotee the numbqr'.of atoms Card 2/4 ~ n0 0 n/2)..r.0-,.,Q1M3 Phe Aeory of Weuk Solutions of He4 in Liquid He3 SOV/56-37-1-23/64 3 3 3 of pure He in 1 cm M3 the mass of the Ile atom, a the concentration of He The authors then compare T 0 with those temperatures at which the interaction of the impurities between each other plays a certain role. The second part deals with the kinetic equation. This equation determines the distribution frction of the elementary excitationnin the solution of Ile in liquid He3, and has the form: q - PO - kf-c. The authors derive the kinetic equation for the Fermi excitations and also for the impurities, the col- lision integrals in the standard form as well as the ef- fective cross sections for the scattering of the impurities on the Fermi excitations and impurities. The third part deals with the diffusion of the impurities. An this problem can hardly be solved accurately, the two limiting cases of high (range of validity of the Pomeranchuk law) and low tempera- tures are investigated; the reaults in the intermediate range can then be determined by interpolationo The corresponding diffusion coefficients are explicitly written down. The thermo- diffusion ratio is calculated in a similar manner as the Card 3/4 diffusion coefficient. The thermodiffusion coefficient is Weak Solutions SOV/56-P-1-23/64 small as compared with the diffusion coefficient. The cosity and the thermal conductivity are calculated in last t,%o parts. The authors thank B. I. Davydov for a discussion. There ore 14 Soviet references* Institut fiziki Zemli Akademii (Institute for the Physics of 3ciences, USSR) nauk SSSR the Earth of RUKHADZE, A.A. ; SILINP V.P. Magnetic susceptibility of relativistic electron gas. Zhur.ekspA teor.fiz. 38 no.2:645-646 F 160. (MIRA 14:5) 1. Fizicheskiy institut im. P,N.L43bedeva Akadeaii nauk SSSR, (Electron gas) 24.1900 AUTHORi TITLEj S/056/60/038/03/29/05.~ B006/BO14 Silin, V, P. --A.ftv .................. ...... The Theory of Ultrasonic lbsorption in Metals PERIODICILs Zhurnal eksperimentallnoy I t*orotichookoy fiziki, 1960, Vol. 38, No. 3, pp. 977-983 TEXTi The article under review describes a theoretical investigation of sound absorption in the low-tomperaturo range where absorption is caused by electrons. The frequencies under consideration wer* eo high that th* condition X >( tiw Coulomb depends, in a --unonant manner, on '.!e frequency of the variable V. L. Ginzburg i.; thanked for discu~usions. There are reforence~n: .. ';cviet and 1 British. jZOOIATIO": Finicheskiy institut i7~. 11. 111. Lebedeva Akadomii nauk SSSR (Institute of Physics imeni P. 11. Lebedev of the Academy of Sciences USSR) SUB,'.IITTED:' December 24, 1959 + V 'f- + . (E + ' (vH)) C dp'dr' n.- U...r r'j) J., (p. r') Op dr M dr'dP' n.. (p, r, p', r', t), Card 3/6 E5685 S/056/60/03e/oo6/027/049/X" -300SI13070 U r - V, V'. at, x dr g... (p. p'. d, -!I- Cos + - (COSO. -dp x Cos ap sin i st'.1 till I Cos Q.-I H -j-, at, jTF I a C, - I-L -~-)k I.. (P" R1, t 4(P, R, 0, (12) H, dr' It ( rAe (a. e-11 t+v H H If (HE (10)) + _~. [F. I sin Quc + e. dt' It 11H P1111 COS, If JE (P) Iii sin 0. + i i1i JE W) 1111 COS a.+ +1t + If-- lf+v - dt' P'(P I Ir + -I- di'P W), P, == Card 4/0