SCIENTIFIC ABSTRACT MAKSIMOV, I.V. - MAKSIMOV, M.
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CIA-RDP86-00513R001031620015-2
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S
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100
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Publication Date:
December 31, 1967
Content Type:
SCIENTIFIC ABSTRACT
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ACCESSION NR: AT14o41748 S/2561/64/000/016/0013/0026
AUTHOR: Maksimov, 1. V.
TITLE: Free oscillations of the axis of rotation of the earth and the icelandir.
low
SOURCE: Lenin(:rad. Arkticheskiy I antarktichesl~iy nauchno-issledovaLet'skly insti-
tut. Problemy'r Arktiki I Antarktiki; sbornik statey, no. .16, 1964, 13-26
TOPIC TAGS: mtteorology, atmospheric pressure, pole tide, long-range weather fore-
casting, atmosFheric pressure gradient, atmospheric general circulation, earth ro-
tation axis, icelandic low
ABSTRACT; The free oscillations of Lhe earth's axis of rotation are the cause of
the development of a forced wave (the "pole tide") in the world ocean. Variations
in the earth's :entrifugal force thus Induced also give rise to a "pole tide!' in the
earth's atmosph!rc. This latter problem has been studied using the mean monthly'
values, of atmos)heric pressure at stations situated in the zone of the Icelandic
low and the com)uted gradient between Iceland and the Azores, the latter charac-
terizing the toial strength of merldlonal circulation in the northern part of the
Atlantic Ocean. The characteristic of free oscillations used was the projection of
-the. rrdius vector of the earth's pole on the 0-1800 axis. The method used for com-
A
Card
ACCESSION NR: ATk#041748
putation-of the nutational component in changes of atmospheric pressure and pressure
gradients and the determination of the mean characteristic of motion of the earth's
pole is described, i.e. computation of the ordinates of the 14-month "polar tide"
wave as a mean for 21 years. Curves have been constructed showing thaeithe free
oscillations of the earth's axis of rotation and the polar tide created by them X
are capable of appreciably accentuating the activity of the Icelandic low and simul-
taneously affecting the meridional transport of air masses In the Atlantic zone,
i changing the mean value of the pressure gradient in the northern part of the Atlan-
tic Ocean. (Comparison of motions of the earth's pole and 14-month changes of at-
mospheric pressure In the Azores show there is no corresponding appreciable c1hange
In the Intensity of the Azores high.) The radius vector of the pole of the earth's
rotation can pass through the Greenwich meridian and through the 180th meridian In
different years and In different months. The nutational accentuation of.the Ice-
landic low and of merldional atmospheric circulation in the Atlantic Ocean in dif-
ferent years therefore has different climatic significance. For example, the nu-
tational accentuation of the Icelandic low in winter can create a strengthening of
the Icelandic low In certain years.and in other years will cause Its attenuation.
in certain years*, the pole tide wave Is the cause of the development of cold win-
ters in the European territory of the Soviet Union while In other years, by caus-
ing an Increase In the cyclonic activity of the Icelandic low, It Is responsible
-2/4
Car4
ACCESSION NR: AT4o41748
for the formation of mild or warm winters. Changes in the meridional transport of
air masses In the North Atiantic, of a nutational character, and nutational changes
In the activity of the Icelandic low, constitute 8-9% of the maximum value of the
changes in the indices of activity of the Icelandic low and the Indicies of meri-
dional circulation in the Atlantic Ocean. Despite the significance of this factor,
practical meteorology neglects to take it into accountj For the time being no
method has been developed for predicting changes of this factor to perm-it proper
allowance for it In long-range weather forecasts. Forecasting of the nutational
accentuation of the Icelandic low is possible by forecasting the time of the passage
of the radius vector of the earth's pole through the Greenwich meridian. The
author demonstrates that the cold and rainy summer of 1962 and the cold winter of
1963 were of nutational origin and were associated with the* pressure wave crea ted
in the atmosphere of the middle latitudes by free osci'llations of the earth's axis
of rotation. The conditions prevailing in 1962 and 1963 are opposite of those
which will prevail in 1965 and 1966. In the summer of 1965 the Icelandic low should
have weakened activ.Ity, resulting in a warm dry summer. in the winter. of 1966 th~
a
ctivity of the Icelandic low will Intensify, and western and eastern,Europe there-
fore will have a mild or warm winter. Orig. art. has: 6,figures,,and 3 tables..
1ASSOCIATION: Arktiche'Afy I antarkticheskiy nauchno-IssIPdo*v'ate-j'1~*
11~iy_jnstltut
~Arctlc and AntarqtIc, scientific Research institute)
Card 3/4
;ii,, L,-Cii i -~i I a
!ACCESSION NR,. AT404 1748-
SUBMITTED: )qApr63 ENCL: 00
SUB CODE: Es
NO REF SOV: 009 OTHER, 005
4/4
ccird
MAKSIMOV.,-L.Y.jLenIngr.ad); SMIRNOV, N.P. '(Loningrad)
Study of the causes of variations in the activity of the Gulf
Stream over a period of several years. Okeanologiia 5 no.2s2lO-
221 165. (KRA 1916)
!,U.KS!X,(IV, '-V-'~ St-!!R?~()V7 'N'P'
' -' n of thF- -: ~T.. i P. rr-.j 3 - . . r - - - -
t
Rr :~ 7 . I-rllrt-M. '-n lr~f~ a.- - , 7 - - - - .,-: e r, * E.
TZvo 4N Fiz. a .m. I Aeari" * m.. - : -e'- - -, --I
: ',~ ~ i, 'A , )~ I.- ~
MAKSD40V' IV,
Zakharin-Head zones of the lary, and their use for the
therapy of some laryngeal syndromes. Hauch. tr. vissh. med.
inst. Sofia 41 no.8:115-124 162.
1. Predstavena ot prof. G. lAnkov.
(LARYNX)
ACC NR. '_AT6o3653l____ SOURC-2c-d5b ff..-ufi/oo66/66/ou./~000/0222/0123
JWTHOR: Glazkova, Vo A.; 14akqAM.,_jj_,V.; ChorrWakov, I. N.
ORG: none
TITTZ- DynaNaca of blood oxygen saturation in man during excess pressure breathing
at hic~h altitudes japer presented at the Conference on Problem of Space Medicine 1
held in Moscow from 24 to 27 MAY 1966J.
SOURCZ: Konferentsiya po problem-am kosmicheskoy meditsiny, 1966. Problemy kosmichos:
koy moditsiny. (Problems of space medicine); materialy konferentaiI, 14oscow, 1966,
IZ2-123
TOPIC TAGS; high altitude physiology, blood chemistry, human physiology, hypoxia,
oxyhemography, blood oxygen saturation
ABSTRACT:Blood oxygen -saturation during excess pressure breathing (150 and 130 mm~
1Hg) at altitudes of 30000 m and higher with counterpressure altitude compen-
,sation was studied in man by the oxyhemograph method. Saturation level ab- I
tained during pure oxygen breathing on the ground was taker. as 98 to 100,16.
Above 12000 m, blood oxygenation depends on absolute intrapulmonary
ipressure which in turn determines alveolar P02. At an intrapulmonary
pressure J50 mm. Hg (alveolar p02't'-60 mrn Hg), blood oxygen satura-
Card 1/3
--tgG-A,~6_636-531
tion- varied between 84% and 880/6 at-all altitudes from-120002-36b6b-iii.
'At a higher intrapulmonary pressure of 180 mm Hg (alveolar P02 90 mm
,Hg), oxyhemoglobin rose to 90% -- 95%.
Breathing air at 3000 m gives an alveolar P02 about equal to that ob-
tained by breathing oxygen without excess pressure at 12000 rn with an abso-
;-lute intrapulmonary pressure of 150 mrn Hg at altitudes above 12000 m.
,Nonetheless, blood oxygen saturation was lower (76% to 7876) while breath-
ing air at 3000 m than while breathing oxygen at 12000 m and above (84%
and 86%, respectively). It is suggested that the exclusion of nitrogen from
-the alveoli during oxygen breathing at 12000 rn and above improves oxygena-
tion of the blood.
Conversation or counting aloud produced a 3% to 5% increase in blood
oxygen saturation provided speech activity did not interfere with respiration
.rhythm and provided the subject did not speak too softly and slowly. This
'increase is d perventilation accompanying active speech and not
ue to hy
.to enhanced cerebral blood circulation due- to- mental. effor t.
During light physical exercise, saturation plunged to 74% to 78%o,
the rate -of decrease depending on intensity of the exercise and impairment
of ext.ernal respiration..
Card Z/3
ACC NR% AT6036531
On longer exposure to the maximum altitude, oxyhemoglobin gradually
decreased by 416 to 676 though the absolute intrApulmonary pressure did
not change. This decrease is not yet explained.
In two cases in which presyncope states developed, oxyhemo-rlobin
fell gradually to 7076 or 6076, then increased sharply to 95% or 96076. These
disturbances were evidently due not to hypoxic hypoxia, but to circulatory
hypoxia.
Recordings of linear blood flow velocity and the endurance of voluntary
apnea showed these indices also to depend on oxyhemoglobin percents.
A. No 22; ATD Report 66-13-g
suB com 06 SUBM DATSt MayM
Card
4
MAKSIMOV, Ir ------
On the problem of activity of a myoneural nature in vibratory
mtlan of the vocal cords in phonation. Khirurgiia 16 no.1:
34-" '63.
1. VisBh meditsinski institut - Sofiia. Katedra po ushni,
noani i gurleni bolesti. Zav. katedrata: prof. G. IAnkov.
(VOCAL CORM) (MYONMRAL TUNCTION)
L 04731--67 EW-.1(m)/EWP(t)/ET1 IJP'c) DS/JD/JG/RM
ACC NR~ AP6027011 SOURCE CODE: UR/oo80/66/039/oo5/1179/1182
AUTHOR: Pakholkov, V. S.; Maksimov, I. Ye.
ORG: none 46
;TITLE: Separation of niobium and tantalum in HC1-HF and H2 so 4- HF
solutions with the help oT-s-Erongly basic anionite AV-17
SOURCE: Zhurnal prikladnoy kbimli, v. 39, no. 5, 1966, 1179-1182
:TOPIC TAGS: niobium compound, tantalum compound, sorpt~ion, chemical
separation, ion exchange, ion exchange resin
'WiSTRACT: The sorption of Yb and Ta from TIP solutions In the presence
I SI) and the separation of Yb and Ta by
jof HCl, H,SO , NH C' 1 or (NH4) -4
siflonites'wa~ inv4s'tigated. iddition of HC1, H or their ammonium
i 2S04
!sa ts to solutions of Nb and Ta. in 1 M HF suppresses the sorption of Nb
.without significantly affecting sorption of Ts by the strongly basic
;anionite AV-17. Sorption of Ta reaches a maximum in 0.1-0.3 N HC1 for
1weaker base anionites EDE-10P or AN-2F, but remains constant in higher
~scid concentrations for AV-17. Maximum sorption is effected when the
1,Ta:HC1 concentrations are 1:5-L;6. Complete separation of Yb and Ta, ga'
jdatermined by reaction with Rbodamine B, is attained by utilizing the
i C rd 1/2 UDC: 541,jas I
L 04731-67
ACC NR- AP6027011
!differences in sorption of these elements from solutions of 1 1-1 HF and
14-5 N HCJ (or H SO ) by strongly basic anionites AV-17 or AMP in the
2
!chloride form. Orig. art. has: 4 figures and 2 tables.
!SUB CODE: 07.,.-zX-
3/ SUBM DATE: O80ct64/ ORIG REF: 008/ OTH REF: 001'
Card 2L2
86M
57//0 S102616010001010IW91013
A166/koe6
AUTHOR: Maksimov, K.A. (Moscow)
cog -
TITLE: Co6ilng by Magnetization
PERIODICAL: Priroda, 1960,,,N0. 10, PP. 77~78
TM: 7he article explains the apparent anomaly discovered by the English
scientist V.P. Wolf, that paramagnetic sFWt can be cooled not by demagnetization,
butt by a rapid,inerease in the intensity of the magnetic fielo io the order of
20,000 ersi~ds. A prerequis#e for this to that those 4toms of the paramagnetic
salt whose spin fasporpendicular to the mWetic field have the least energy. If
the magnetic field-.1a rapidly increased, the "population density" (i.e., the num-
ber of atoms in the higher states) of the excited bevels has nottine to change
to any great extent as the field increases. Since the "population density" of
the levels ispreserved, the relation of the temperatures to the difference in
energies between the ground level and the first excited level must also remain as
it was. However, since this difference decreases with an increase in the mag-
neiia field, the temperature must decrease accordingly. This method will enable
scientists to stdo matter at very low temperatures and simultaneously under very
Card 1/2
Cooling by Magnetization
86713
S/026/60/000/010/009/013
A166/Ao26
strong magnetic fields, which was previously impossible under the old method of
demagnetization cooling. There are 2 figures and 4 Soviet refernees.
i .
Card 2/2 -, -
RAKSDIOV, K. K.
"'Influence of tlie Density o.'L' Air on the *,ieading of Wilds Wind-lane and tne ~`uss Anemometer,"
No 1, pp 22-27.
(Veteorrologdya i 3iarolcg-',1-.----, NC -- 1~1 -,,
SO: U-3'-,'18,3 Apr 1953
MAKSD-IOVJ K. K.
22377-4~~simov, K. K. Godovoy I Suto,,-hnyy Khod Davleniya Atmosfery Na Stantsii Tyan'-Shan. I
Trudy Tsentr. Aerol. libservatorii, Vy-,~- 4, 190, S. 175-80
Su: Letopis' No. 30 ;949
ACC NR,AP6029010 SOURCE CODE: UP,"-,-"~~,/,~"/CCO/C,)6/0068/0()73
AUTHOR: Maksimov, 1. M. Zn 6 i nr c, r,
ORG: None
TITLE: The construction of compo6iLe grid! nouo,~rcmG
SOURCE: Morokoy sborn1k, no. 6, ag"W'), 6.3-75
TOPIC MS., t.arget tracking, tZkrget
acquisition, milit,,jry tnctlc
tional
ABSTRACT: k all (,iiicit 11cj,-,:; i% conn-_,t~o% ',a~-.tical operationn often require solu
to equations wita i_L-.,, varinblec. 1r, casen, composite grid nomograms are highly
useful and for 7!-.;:---"- Computations. Nomograms can be con-
structed f (~r e-' j.. r , n _-s' , canonical for-m. The f ormula used
for determining t"o- -~,rc _-Y Of _'Qca 1 r-"~ a tarcet in a given area is one which
D
can be reduced to a -.omo of composite grid nomograms is the great
amount of informarion they ccntriln in the form of solutions or answers. The process
lof constructing them is descrbQd `7-, deta'l. Although nomogram construction is a
fairly complicated procedure, they provide a quick and easy way to make calculations
in a tactical environment. Orig. art. has. 17 formulas and 7 figures.
SUB COM12,15/MMM DAM None
T.
Subject
Card
Author
USSR/Engineering
1/1
Maksimov, K. T,
AID - P-186
Title Troubiesome Problems in Development of Turbo-Drilling
Periodical Neft. khoz., v. 32, #2, 13-15, F 1954
Abstract Major inconveniences in the turbo-drilling arrangement
of types T-19-10", T-14m - 9 3/4", T12M-2-10" and of
similar types are related to the absence of suitable
tools for assembly and catching of the broken shaft.
Various preventing measures are recommended,
Institution - All-Union Scientific Research Institution of Oil
Well Drilling (VNIIburneft)
Submitted - No date
MANSD40V, L.
Mysterious neighbor of the earth. Kryl. rod. 14 nc.2:14-16
P 163. (MIRA 1614)
(mare(Planet))
MAKSIYDV, L.; KUTSYY, P.
The "Kuban" State Farm on the new road. Zemledelie 25 no.2%3-110
F 163. NvJRA It,: 5)
1. Direktor ordena L~enlna sovkhozii "Kuban'", Krrisnodarskiy kray
-(for Maksimov). 2. Glavnyy a:,ronom ordena Lenina swvkhoza 'Tuban~ll,
Krasnodarskiy krFiy (for roitsyy).
(Agrioulture)
W SIMOV, L. (Sverdlovsk)
?lame on a roll table. Izobr.i rate. no.5 (201)19-10 163.
(MM 160)
(Rolling (Metalwork))
MJMIMOVA~ I.- slVT-,q, V.
Si-,ct-t of tht~ ycing and br&ve. Kryll. r-od. 13 no."-4-6 Mr 162,
(MIRA IS: 5)
1, FervYY sekretar' Tz~-ntrallncga kom-iteta Lenirakago kammunisti-
cheskogo soyuza molodezhil Belvr-ussil. (for Maksimov). 2. Predse-
datell r,-~spub'.~kanz-,kogo Vs6soyuznogo dobrovollnogo
oW~--hestva sadayst,viya arn'44, av'-atsii i flotu Beloruaskcy SSR
(for Savini's
MAKSIMOV, L. [Maksymov, L.1, inzh.; BLUVSHTEYN, D., inzh.
Work practices of a machine maintenance and repair station.
Mekh. sill. hosp. 14 no-3:26-29 Mr 163. (MIRA 17:1)
1. Vinnitskoye oblastnoye ob"yedineniye "Sill gosptekhnika.11
AUTHOR: Maksimov, Leonid 4-11-19/34
TITLE: Biographies of Our Days (Biografii nashikh dney) The Road of
a Scientist (Put, uchenogo)
PERIODICAL: Znaniye - SiIR, 1~57, # 11, p 24-26 (USSR)
ABSTRACT: The article is a biography of the 3oviet scientist Vladimir
Iosifovich Veksler, a well known physiciat, who discovered the
phenomenon of the so-called phase self-ad~ustment by which the
energy of the accelerating particles can 'theoretically he in-
creased infinitely. When hearing about it the Americans quick-
ly altered their giant cyclotron and already in 1946 obtained on
it energies of approximately 200 million electron-volt, In the
summer of 1955, at the Gen*va International Conference for the
peaceful utilization of atomic energy the Associate Member of
the USSR Academy of Sciences and Director of the Laboratory for
Physics of High Energies (Laboratorlya fiziki vysokikh energiy)
V.I. Veksler said that in the Soviet Union a unique atomic ma-
chine will soon start operating intended for the acceleration
of protons up to 10 billion electron-volt. The names of the
professors Dobrotin, Cherenkov, Groshev, Vernov, Tamm, Mandell-
Card 112 shtam, Papaleksi and Landau appear also in the article.
.IBiographies of Our Days, The Road of a --cientist. 4-11-19/~4
There is 1 photo.
AVAILABLE: Library of Congress
Card 212
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L
MMIMOV, L.I.; SMORCDINSKIY, Ta.A.
_-1. ~ ~_, '. ~- . " _V ~ ~. -
On the theory of double beta-decay. Izv.AJ9 SSSR.Ser.fiz.19
no*3:365-376 Xy-Je 155. (KLRA 9:1)
(Moscow--Spectrum analysis--Congresses)
-t,T,
- 7- 7
- . ,- -- , r,:_
1, -:-
on P
IIAKSII'OV, L.A., C-nd PhYs Vatr~ jci - (rLiss) 11 t"Ie t' 'ry
of quantum fields with indefinite ~-net-rics-ll 1.105, ; ~;~"
- -L)
(!,'Os Engineering IW PIhySic3 In.,-t) IOC copies (KL, 34-~)9, Ii' "
- 10 -
WS IRCLOMbPOMMEM-
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Quantum mechanice. lUn.tekh. no.6:54-59 Je '57. (KLRA 10:7)
(quantum theory)
GOLIMAN, L.. kand.tekbn.nauk; MAKSIIVV, L.. inzh.
Super pressures today and tomo"ow. lzobr.1 rats. no.12:32-33
D 158. (MIRA 11:12)
(High pressure research)
24(5)
AUTHOR: blaks,"ov, L. A. 3 C.
TITLE: Commenta on the Paper by Heisenberg on Lee's Mc~iel
'Zamechariya k rabote Gayzenberga c modeli LJ)
PERIODICAL: Zhurnal eks-perimentallnoy i tecreticneskoy fiz'-ki, '959,
Vol 36, Nir 1, pp 140-144 (USSR)
ABSTRACT: A paper bj Heisenberg (Gaizenberg) (Ref 1) ahowG the fo'Llowing3
In the special case in which a non-physical discrete state with
negative norm fuses with the discrete state with positive norm
it is possible, successively, -to el-iminate trars.-.nons into the
nor-physical state and thereby to warrant l,n4tarity of the
S,matrix 3f the 3cattering of thie physical states. 7'he author
of the present paper shows that the cz)ndition of fusion of
discrete states is not necessary, at least rot in Lee's model.
The aut!:or uses Heisenberg's method of deqct&tion and results.
In Lee's model 3 real part:Lziea are introduced, which are in
interartion according to the scheme V`N+ 0. Here all states
are subdivided into the seotcr3 (N + z It + (z
which do no'. 6o rver into o;:.,e ancther., and therefore each
sector can be investi-gatei separately. The author shows that,
Card 1/3 by imposing certain conditltns upo.-, **.-he initial state of the
Comments on the PP-7
,,er by Heisenberg cn Lee's Midel 2
system, the folowing j-9 ucss~-bies From a (,~,ntaining
states ,Yi-'h negative norm, it wz'-ild te pos.--'b-.e to derive
sensible physical reaultn. First, the ocatto--.'ing of a
O-pa~ticle of a V--parti~;ie Is iavestigatqd. (Sector
(N + 2 0 , V + 6 '.). This -.s as Iong as a discrete
state of the 11-parti-cla with positiva ncrm exists for these
two discrete states. For t', 'e Scz-.roi-.nger equation a soiultion
ansatz J-'s;r .Sten down. Next. an fs given for the
func t' Fk~ , which desc.-J-',e3 tre of the
0-1~a2tjcle in Momeilt'.'~ represent ation, after which the general
solutIon of thf3 eq-uatioz- 12 given. The fif~,t two rerms in
this aolution de3c--ioe st-at-Ionary S-waves, but the last term
describes .he divsrgf-g wl-v~-s cf thie sy2tem V , 0 in the
i)'-Ys-*-r,,al and in the ",-:ilreal" statc. T'.e soiution can be
phys-ica!17 fnterrreted only if the '..-ansitions of the system
from the physic~,l ir-to the nor-phy--J.cal states are lacking.
in =exactly the Larne ma-nf.e::- aE! *.-, 11-e ----edjr.g --halter tte
foi.owing POS.-AL".ility is snowni By t',.e ad--"-cr of a certain
=pii~ude of -.C, te s-.ate of the
system if F + z Ob" it --.s poss~ole to cause no
Card 2/3 scatte:red wave of the "un-~,a!" state tO exist. T-..-F, apzarently
Comments on the Paper by Heisenberg on Lee's Model 3307/5~- '216-1 -191652
warrants the probability that the system is in a physical
state, i. e. unitarity of the physical S-matrix. By repetition
of the calculations carried out by Heisenberg the following
interesting result is obtained: There is no scattering of the
wave of "unreal" states, if not the amplitude of the initial
wave of the "unreal" states but only its integral has a
definite value. The problem of selecting the ground states
of the system is thoroughly examined. In conclusion, the
author discusses a more general form of conditions to be
imposed upon the non-physical states. The author thanks
Profes-~or Ya. A. Smorodinskiy for discussing results and for
his valuable advice in connection with this work. There are
3 references, 1 of which is Soviet.
3UBMITTED: June 7, 1958
Card 3/13
24(5)
AUTHOR: Maksimov, L. A. soy/r.6-36-2-17/63
TITLE: On the Scattering Matrix in an Indefinite Metric
(0 matritse rasseyaniya v indefinitnoy metrike)
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fizikip 1959,
Vol 36, Nr 2, PP 465-473 (USSR)
ABSTRACT: Heisenberg (Gayzenberg) showed by the example of the Lee (Li)
model (Ref 1) that the theory with an indefinite metric may
lead to physically sensible results if the amplitudes of the
non-physical state are added to the initial state of the
physical system. Bogolyubov, Medvedev, and Polivanov (Ref 2)
put this idea into practice but not in a very satisfactory
manner.-The author of this paper employs a method that avoids
existing difficulties. Investigation is carried out in the
threedimensional Euclidian space. The threedimensional
continuum is, with the exception of the xy-plane, denoted as the
non-physical space (Hilbert(Gilibert)space II) and the xy-plane
as the physical space (Hilbert space I). The totality of
physical states is represented by the totality of vectors in the
xy-plane. The S-matrix in the three-dimensional space is
Card 1/2 represented by the rotation of an arbitrary vector round anaxis.
On the Scattering Matrix in an Indefinite Metric SOV/56-36-2-17/63
If this axis is vertical to the xy-plane, the system
illustrates the quantum theory with definite metric. In the
present paper a method is sujeested which, in the theor-, - with
indefinite metric, excludes all non-physical states from the
initial and end state of the system. Fig-ures 1 - 3 show the
position of S and of the vectors a, b and a' bl Yith respect to
the xy-plane. First, the transformation of the S-matrix of a
state subspace with given vectors is investigated. It holds
that S' = USU+ . With the aid of the U-matrix, the Lee model
with 3 particles interacting according to the scheme V.-,- N + 9
is then investi--ated. The author further investigates a model
in which a spinor field (electron) interacts with a real scalar
field (scalar photon): L = g: %V(x) p ~z~ 4, (x). T-,,,~o possibilities
exist for SI: SI(g) = U+S(g)U and S' g = U+(g)S(g)U(g).
In conclusion, the author thanks Professor Ya.A. Smorodinskiy
for discussing results and for his advice. There are 3 figures
and 5 references, 3 of which are Soviet.
SUBMITTED: June 7, 1958
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11
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B 12 5% 161
0 0/ /J //I/ (/-)
AUTHORS: Kagan, Yu., Makeimov, L.
TITLE: Transfer phenomena in a paramagnetic gas
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, v. 41,
no. 3(9), 1961, 842-852
TEXT: Based on a study of the kinetic equation for molecules with
rotational degrefis of freedom, a theory for the transfer phenomena in a
paramagnetic neutral gasv which is located in a magnetic field, has been
developed. With the help of this theory it is possible to derive all
fundamental rules. The present study is limited to linear, diatomic
molecules at temperatures, where the rotational motion can be treated with
classical mechanics and where no vibrational degrees of freedom have been
excited. For such a case, the kinetic equation reads as follows:
af 'Vf + a (f - 1 (2.1).
+ v -:;: M) .
am [Eft-] a t
(2.2), -here "'denotes the magnetic moment of the molecule. The
M - [;L A
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Transfer phenomena in a paramagnetic gas B125/B102
magnetic moment is obtained as a mean value of the undieturbed state of the
"' X "" ( 2 .4). iL
molecule: 11 -3), where y - ;L 0g/f, (2 0 denotes the Bohr
0 if
magnston, g the gyromagnetic ratio, and 9 the total momentum of the
molecule. For the molecules considered the energy of the interaction
between spin and axis (for sufficiently high temperatures) ip small with
respect to the rotational energy. Then, for M>>~ the following relation
holds: y 'M 2 go cr/M (2-5) with a .-S, -S+1, ...' S. S denoter the spin of
the molecule. The kinetic equation (2.1) furnishes, in first approximation,
f -f(o)[I (2.8), and maintaining the first non-vanishing terms,
f (0) 7 uVInT+ 'n (IIIUk blkill) X
1( kr -OTT- 3
X !Uch Ool 2 e ) d"oi +
_L 'Vol ) + (m.'
ax, OXI, 3 ax, Fk-r - -T -kT- ax,
+,r[MHJ 'X f(O)=J,,,(X),
am
.11, W f(O) f(101 W + X1 Wdr;dF"dr;'. (2.13)
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Transfer phenomena in a paramagnetic gas B125/B102
is obtained. In general, the collision probability W is unknown. For a
small non-sphericity the following relation holds approximately:
wdr-dr,' = u)gda, (2.14)
9M
W = 1 + X IP2 (COS ) + P2 (COS 9MO + P2 (COS 9"M) -P, (COS
where 9 and j~ denote the relative velocities before and after a
collision, do the differential elastic scattering cross section, neglecting
the non-spheribity. P 2 represents a Legendre polynomial. The thermal
conductivity tensor for the general case is given by:
Y_ = k(2kT/M)(-~ T1010 + 17 71001), T - 1 77 T(a) (3-4).
lk 4 ki ki 2S +1 Z__
OF
When limiting oneself to the terms with p =1 and q~L-2, the kinetic
2 2
equation -u (U +M 7/2)f (0) , yf (0) ~M' M - j will have the
i I St ~i
approximate solution
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Transfer phenomena in a paramagnetic gas B125/B102
-4, = T110;k' --41- Tth! + (3.5)
Vk' = Uh (it' 'V'k = Uh (M' 7- Ph U"(4111M.-V3411 Mv), (3.6
LOW
T1 =T , T2 = VOOL, P = T1200. (3.7)
The coefficients of (3-5) are given in a mathematical appendix. The thermal
conductivity of a paramagnetic gas located in a magnetic field becomes
anisotropic, i.e., the thermal conductivity will depend on the orientation
of the magnetiofield with respect to the temperature gradient. If the
angles between H and VT are different from 00 or 900, then the heat flux
will have a component normal to the temperature gradient. The Senftleben
effect is completely determined by the following expressions:
Ylk - (c,61A + c2H,HAlHI) X,,, (3.24)
3q1 (3 + 4q1) - T11 (7 + 4 q1) (3.25)
0 + q1) 0 + 4Y) (TT q1) (I + 41ll)
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Transfer phenomena in a paramagnetic gas B125/BI02
(Kik) J1 -0 'A'j C' 61, + C" H,H '~ ) , (3.26)
I
and (Ats)' A" 10 (A-)2
~I -~ 5 1 - - (3.27)
An A33 All + B"I 3 An A"I'll
At a fixed temperature, the Senftleben effect is only a function of the
ratio H/p; this agrees with basic experimental results. The temperature
dependence is closely related to the shape of the scattering cross
section of molecules. For the change of the thermal conductivity
coefficient, and any values of 1, the following holds-,
AXL/K_o < 0, &'(,,/X0 ( 0 (4-3)
for an H which is parallel or normal to 7T; if the values of I are
Buff iciently high, one obtains (ALV_,,P\)Cj)(, . 2/3 (4-5); this agrees very
well with the experimental results of Senftleben. There are 8 references:
2 Soviet and 6 non-Soviet. The reference to the English-language
publication reads as follows: J. 0. Hirschfelder, C. F. Curtiss,
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Transfer phenomena in a paramagnetic gas B125/B102
R. B. Bird. Molecular Theory of Cases and Liquids.
SUBMITTED: April 3, 1961
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Oka- a Ano.
IJP(c JD/JII
A~IoO27781 SOURCE CODE -.UR/0126/66/022/001/0007/0017
lu
A. F.; Maksbnov, L. A. I
Cjl-,G: none
Z: Ca inum
-1culatin- the electrical resistance of alum
SOL;p,cE. Fizilia motallov i metallovedenlye, v. 22, no. 1, 1966, 7-17
TO:'iC TAGS: electric resistance, aluminum, conduction electron, phonon, mathematic
ABSTRACT: &arting Nvith a system of non-iliteracting quasiparticles -- electrons and phonons,
N~iiich axe described by the hamiltonian and in which any distribution with the density matilk
o = poo (I + F);
POO Z-O1 exp
(2)
is steady-sLate if the operator F satisfies the conditions
Card 1/2 UDC: 539.292:537.211
L--ogoo4-67 --
ACC INRi AP6027'
F F F=O. (3)
0; < > SP 00
= CA is t1le
(~n 'Ll-lis particular case F p p electron momentum operator, with the density matrix
~10 describing a state witIl electric current proportional to the vector c. On this basis formulas~
-phonon interaction are derived, with special reference 11
for electrical resistance and electron I
W Liao electrical resistance of aluminum at six values of temperature within the 64-205*K I
range, The calculations pertain to a true Fermi surface of aluminum and real wave functions
of conduction electrons. By contrast %viLh the studies dealing with the calculation of the kinetic
coofficicnt~of-monovalent metals (see e.g. Greene, M. P., Kohn, W. Phys. Rev., 1965, 137, 1
2A, 513) in this case (a polyvalent metal) the matrix element of electron-phonon interaction
is determined on the basis of the pseudopotential theory. Electrical resistance is found to be
esscntia~ly dependent on the value of the Fourier component w(p) of the pseudopOtential in the
region,,) -j .viLh scattering on transverse phonons accounting for 70% of the resistance. I
The theoretical findings are found to be accurate within 15%. "We wish to use this oppommity
to cxl)rcss our gratitude to Yu. M. L