SCIENTIFIC ABSTRACT MOSKALENKO, S. A. - MOSKALENKO, V. A.

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• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

84812
S/181/60/002/008/047//--)z,,61,/XX
Boo6,/BO70
AUTE09: Moskalenko, S A
TITLE JA
4zelton Absorption of Light in a Cu 0 Crystal I Th,?
Absence of Constant External Fields 2
PEPIODICALI Fizika tverdogo tela, 196o- Vol 2 No 8 pp 1755-176@
TEXT; The present paper gives a group-theoretical classification of the
electron, hole, and exciton bands of the Cu20 crystal at different points
of the 9-space. In the introduction, some related publlca@lons are briefly
described. �1 gives a study of the structure of the cuprous oxide crystal
-which belongs to the symmetry group 0 4( 12) and the crystal terms of
h
the copper ion. �2 gives the study of Ahe E -ucture of the electron and
hole bands at different points of the k-space; in @hia :onnection crily
electrons of 5d and 2p shells are conBidered A scheme of the electron
and hole bands of Cu 0 is given In Fig 2 The characters of some irredur
ible representations 2are given in Tables 1 and 2 The exciton spectrum of
Cu20 at k=O Is studied in �3, and the products of the irreducible
Card 1/3

8h822
Exciton Absorption of Light in R Cu2G S/181/60/002/008/047/C52/XX
Crystal. I, The Absence of Constant B006/BO70
External Fields
representations of the bands are calculated for four cases (Table @) A
comparison of theory and experiment is givc-n In �4 It has been sh@-wn that.
for the same parity of electron and hole bands, the exciton series 6@-xhibit
intensive bands, beginning with n=2 Fig 5 shows a scheme of the Pit(7*.t,;n
levels of four joint electron and hole bands (from n-2 to n@q) The
splitting of the "new lines" is related to the different effective masseo
of the excitons The appearance of th-@ now 11nes is attr1buted rrither t-@
quadrupole transitions In para-exciton states, or dipole tran21*ions in
orthostates for 1=1 and in parastates for 1=5 Some further
of the green and yellow series are discussed The results of the pre.,;enT
paper were communicated to the ITT Vgesoyuznoye soveshchaniye po tonrl.- pn
polupr-vodnikam (Third All-Union Conference on the Theory of Semi
conductors) in L-Yov on April 5, 1959 The author thank3 K B ToLp_ygc
for guiding the work 1, S Gorban , I Zastrnyak. Ye F Gross_
A@ A. Kaplyanski , S I. Pekar, B Ye Tsekvava, and A G Zhilicb are
mentioned There are 3 figures, 5 tabigs, and 24 references, !I, Soviet
1 British, and 8 US
Card 2/5

8012
Exciton Absorption of Light in a Cu20 S/18 60/002/008/047/052/XX
Crystal. I, The Absence of Constant B006YB070
External Fields
ASSOCIATION: Institut fiziki AN USSR Kiyev (Institute of Phyg:cs
AS UkrSSR, Kiye )
SUBMITTED: April 20, 1959 (initially) and March 28 1960(after rt@vlsion)
Card 5/3

S/O,r V60/009/00.3/'00 4/011
L?2.01/E691
AUTHORs Moskal*rlro, a,
ly,
TITLS-. Exciton t4orptioa of Light In & C`20 Crysital. 11 - The Case of
Absence of Constant External Fields
MIODICAL- Optilca i spalitrosiropiya, 1960, Vol 9, No. "'., pp. 369-375
TEM, The results reported in the paper were preaented at the Third
All-Union Conf*ranc.9 on Semiocnductor Theory hold in April 19,19 in LIvoy.
Part I (Ref, 1) if e1CtO@4a--b-y---& --da-soueE ion of the hole bands of p-type.
of the exciton spectr= related to ox@-Atation of orygea Ions and of the
nindamental frequenciov of the Cv,50 lattico vibration* . The following
theoretical pointa were -hecdced by comparison with experiment,- (1) origin
of two hydrogen-lilco ab6orption-line sari" reported by Gross at al. (Ref. 2);
(2) nature of the background of these two sazle*, k3) origin of the line X,
at 6125 The theory faOsd to wxpla).ri the foliowing ooeervod features:
Ca rd 1/2

S/O.-1/60/009/00.3,,"00-- /o' 1
3201/9691
jxciton Absorption of Light in a C@qO CryatRl II. The Gas@ of Abeeri@,,*
of Constant Erternal Fields
(A) the doublet splitting of the yellow-serlas bande by magr)eti@- fields,
and (B) sharp rise of backgrow-ld obs3arved in iome regions of the exciton
absorption. Acknowledgment ie made to K.B. Tol yro who supervised this
work. Thor* are 3 tables, 2 figurog and 22 reforencess 14 Soviet, 4 English,
3 German and I Japanese.
SUBMITTED@ Auguet X,
Card 212

ACCESSION NR: AT4016301 S/0000/62/000/000/0077/0080
AUTHOR. Moskalenko, S. A.
TITLE: Some questions on the theory of interacting excitons
SOURCE: Vscs. soveshch. po fiz. shcholochnoploida. Irristallov. 2d, Riga, 1961. Trudy%
Fiz. shchcloch@ogaloidn. kristallov (Physics of alkali halide crystals). Riga, 1962, 77-60
TOPIC TAGS: Bose-gas, Bogolyubov theory. exciton gas. non-ideal exciton gas, Landau-
IQalatnikov theory, superfluidity, exciton, phonon, semiconductor, Bose-Einstein conden-
sation, crystallography
ABSTRACT: The author discusses the thermohydrodynamic properties of a non-ideal ex-
citon gas in a semiconductor using Bogolyubov's microtheory of a non-ideal Bose-gas and
the Landau-IQalatnikov phenomenological theory of superfluidity. Assuming that (a) the
exciton energy depends on its quasipulse--'*' by the law
p + where m is the isotropic
2m,
mass and A is the excitation energy; (b) the thermodynamic equilibrium harp time to estab-
lish itself during the exciton life span % ; (c) hydrodynamic processes in the gas are revers-
iblo and take less time than'C for completion; (d) phonons promote the equilibrium of and
determine the life span C ; and (e) the direct interaction of the excitans and the indirect
Card 1/3

ACCESMON INR: AT4016301
interaction of the plipnons result in the predeminaneb of repulsion. the author presents the
energy and pulse of, a non-ideal exciton gas -in the stite of Bose-Einstein condensation on
the level--,,, as:
PS
PY + P
A QD + N i@ + jV (P. n'
P an NIP.+ Z47 P
P
The author concludes that: (1) from the comparison of the exciton gas in a semiconductor
with liquid helium He U. a number of optical and hydrodynamic effects in crystals may be
predicted; (2) at subcritical temperatures primary and secondary sounds whose velocities
differ greatly may exist in an exciton gas; (3) light scattering over density fluctuations re-
sults in a cleavage of the initial frequency; (4) ex:citon superfluldity sets on at small velocl-
ties u < u*; and (5) mechanocaloric or thermomechanical effects cause the superfluid com-
ponent to transfer the ex:citon. mass over microcapillary ducts. Orig. art. has: 3 figures
and 9 formulas.
card 2/3

ACCESSION NR: AT4016301
ASSOCIATION: Institut fiziki I matematild Moldavskogo filiala AN SSSR (Institute of Physics
and Mathematics, Moldavian Branch AN SSSI4
SUBMITTED: 00 DATE ACQ: OGMar64 ENCL: 00
SUB CODE: 4G, G? NO REF SOV: 007 OTHER: 002
. Card 3/3
I

SiNIGLYI.iK, M.I.; MOSKAIJINKG, @;.A.
i,olarization effect of a ye-,,rw exciton series ir, -X'.,P
crystals. Fiz. tv@-r. @ela @, nc.'@:2"29-2736 3 1 t),. . .
f ; y @ K i A.: Vc ' , i @jv I -SP , --I -
1. lnst@ti.t @riflaclncjy -ik 0:1 @ '. F.,. . n -"I .

AUTHOR: MoskalenkD. 3, A
TITLEi Reversible @)ptic-nydro,lynami -- .@h,-. -,ra it. it.
exciton gas
PERIODICALt Fizika tverJ,,p:) -1 4 ri, -7@
TEXT: The collpctive propert.es -)f III 'i
tor have been studied usine rusulti3 of tfii! micrusc-p,- tbe-.rv -in rr, r
fect Bose gae and of the phenomeriolopicn.' theor 'Y @@i kil',trf ,,I T h
hydrodynamic properties of an exc--tori grin were W-,i) thost J
liquid helium, The paper s@arts r--,th an an,, r--
of various nrticles, in whic.h tht, f,)11c-wnjz Sov-,,@r b:,-., rr,@r
nedi P L. Kapitsa (NavAre ',41 -14, 19@@Is DAN SSSR ' 'i
Lardau (J, Phys, USSR 71 1940; ZhETF 11 592 - ' -W
19441 J Phys, USSR, 91, '947). N N BG go ly a Y@r' V @ I '-, -@ AV 333P. 3 e r
fiz., 9. 23. '947; Vestn MGU , 1., 4 31 '.@4 - i !,(.,K rb i p,; k--in t vca t: -- c
G1, Ill. Rad shkola Kiyev, 119491 ZhETF, 't 7 7 , A Ans-@ , T
Card'1/4
1 -1

@t@ 7
/6
Reversible optic-hydrodjnamic i3.
Yu. A Firsov (ZhETF. 2e 2 19551 4,
Kachliohvili (FTT, .:9-' 1961 )L U r @m ix he'r-1h. I
zhurn 1. 3901 19571 V L' Broiij@f A w P r UPI
6-11 I)q 1959). V Yr, . La,,nKar,,-,; .Yi I K,@irr-i;in,. r; , LI AN M STII
K9, '955) 3 i Pekar I@ZhETF, J@ A, D k'
teorii, poluprovodnikov, 1. ,rr-,v 1146u ind K B 8
IFAN USSR Ftyev, 1')50) Th(, i @ r,., ri -A T, t- r i tD
publicuti-)ns, and t t-I c? r , 9 u a, ? vp- 4. @i i, ..- -,ne
re:,uirument[). Ll@irirg tl,-.e c; x ito: 'i f i 11- 77
qUa3l. +--@,Jilibraum rc-@rslcle nj@, @'T ',A
b e po s o i b I e I @'? .' rc pi 1 s @ on m, i., r s, i c-m i r.a t
cixciton band. ii,n[ be piadra.
are nf-p,,-@ectec! , ?rcc,--vIinF --.n@ H,-ui I
c 3 ton 5 The Dart- -,n @un- -Ln or T, B,,
A ,
ji @ Ir', 6 V`
Z9 - Sp@e . ) 3 @ a 1 C i n m3,:@( -.n'
the rmo ly nam, -; f -,; r, - t i n s an
of sound -tbovu awi be-1-c.-1; Th- r
Card

RL vt ri @ 1 1, wi ti
I rl q C!j r d a r 1,@
ZI 11 j " @@ .- r ': 1, u (! I r, t I I t t 7 h T@-
of the pn33, 0 1- o@7c irron,:,! -- f h E
:,orrparisor.
i m p u r i t i c@, F, a n i
p ovi I c, r - r porwi- F! t@
Gurevich, D N Zu barev. K B T,@@ 7,yz-,
Tserkcvnik-)v -,re thinked 1'3r an-i al@!-.r@t Th
tnble, and
u r T. t rc--,it
f 1 L,- N
S! i A ll K,- F N', 'id t s P
Y T ak eu t 1 Pr Dgr Thr r@t
Rev n 5 ?65 . 5
"OCIATICN 'ns*. t @ t a r@
A
C-ird

Fl C, 'r --? 1, -1 i ,-, 1 :1 (-,T - , I , ! - , .
0 li H. : T'r':-,. @ : -1 '' I . .
@jl .,
Ca-,', 4;'.',

o6o
S/ I a 1/62/004/008/002/041
B125/B104
AUTHORS: Moskalenk nd Bobrysheva, A. 1.
TITLE: Selection rules and energy spectrum of electrons.
Consideration of external fields and directional deformations
?ERI,DDICAL: Fizika tverdogo tela, v. 4, no. 8, 1962,1994-2004
'2--ZT: From the exciton function, a linear combination of many-electron
functions, the following selection rules are obtained for the ex'@Jton
absorption -.vithovt the participation of pnonons in binary crysta-1 having
the point space sy=etry group G, when the extrema of the bands lie at the
point k - 0: When light polarized along the @-axis is-incident alonF the
i-axis, the allowed transition will lead to such levels to which at the
point it correspond certain irreducible representations. These are
contained in representations formed over the following bases:
(+) tr I -
3 LIV in the dipole case, S- L r, V, + r, 7@ _r,V@ +
in the quadrupole case, and S(-) r@ 7 r V r in the
ke
Card 112

S/181/62/004/008/032/041
Selection rules and energy... B125/B104
magneto-dipole case. In all these cases D E G. is the
k exc i;
selection rule with respect to the group of the wave vector: UnJer the
action of light with the polarization e@ the allowed transitions lead from
the ground state to exciton states with a representation over the base
g7@ of the group of the wave vector Q @ equivalent to e
I k
selection rules indicate that the transition probability depends on i;@o
wave vector. In the presence of external constant fields and
deformations, the levels of a cubic crystal are split up as a res-;lt of tne
change in the crystal symmetry. The splitting of the exciton levels and the
selection rules for the split components are the principal factors
characterizing the change in the exciton spectrum at given external
conditions. The selection rules describe the exciton absorption in fr,--e
or@stals with the symmetries D4h 9 D49 COI D D SO D 2h' D2' C2h CIV@:n
if the crystal is not subject to any externall:'rorcle'a. There ai-c )I talil,a.
ASSOCIATIONi Institut fiziki i matematiki AN MSSR, Kishinev I@Instituto
of Physics and Mathematice AS MISSR, Ki3hinev)
SUBMITTED: JanuarY 4, 1962
Card 2/2

M.03KALENKO, S.A.,, LIOBFYSH@Vfk, A,1.
Rules of select'on and energri spectrim of exnltnr.@. f@r- -:
Effect of external flelds and rilrectional s,re'ng -)n n.,,b,c
cr@f staln . Izv. AN Molrl .-.'SF no.@-if,-70 1 @2. (M:PA

L 13o26.63 EWW/BDS AFM/ASD/ESD-3 IJP(C)/GG
Acmsiom xR: AP3=628 S/01 81/63/OOS/00,5/14"/1453&
AU@XOR:. Moskalenko, S. A.t KhMAThfj- Fe LIJ P2@M*sheva, A. I.; Leyakov, A. 1.
T=: Optical-hydrodynamical phenomena in the exciton-photan ayatem
i-SCURCE: Mika tvexdogO'tela' V. 5, no.'s, 19631 1"4,-1453
MPIO TAGS: 'excitonr phonon., Bose-Einstein condensation$. Haqailtonisn, exciton
dispersion, phase twanzition, meaa free path
ABSTRACT., The authors have studied the interaction of phonons with weakly@bound
excitons and have analyzed- the various laws of exciton, dispersion. They have also.
investigated. that particular case when, in the system of excitona and phonons
-quilibrium, between excitans is established
(acoustical or optical)jr thermodynamic
before equilibrium between excitons arA phonons. Here the interaction of phonons
with condensing excitons does not lead :o normal scattering but changes the nature.
of the whole energy spectrun 6f the system. The necessary conditions for this are
such that the meea free path-during interexciton collisions must be considerably
smaller tl= during exciton, scattering at acoustical and, optical phonons or eLt
impurities, The interexciton relaxation time must natura.Uy be less than the
card 1/2

IL 13M&63.
ACCESSION NR: AP3000628
life of the excitons. Computations according to different Jan of exciton dis.
persion lead to qualitatively new results, but this matter is not resolved. "In
conclusion, ve express our deep thanks to v, L. Bonch-D=evi , S. 1. Pekars
E. L Rashba, K. B. To1py* , and S. V, Tyablikov for discussing, the paper' and
I making comments," Orig. art.. has: I figure and. 35 formulas.
ASSOCIATION: Institut, fiziki i matematiki AN MSSR. Kishinev (Institute of
Physics and Mathematics, Acadeqr of Sciences, MSSR)
StMMITTED. o6sep6p- DA7E AcQ.- iijun63 wm: oo
SUB CODE., 00 NO REP SOV: 010 OTW: .005
L
--7

MLSKA@JKOV S.A.
Phase transitions of the second kind during Bose - Einstein
condensation of excitons in a deformed lattice. Znur. eksp.
i teor. fiz. 45 no.4:1159-1-163 0 163. (14PU lt,:Ll)
1. Institut fiziki i maT,@-.-matiki AN Iblduvskoy

MOSKALF21KOI S.A.; SIRMIGLYUK, M.T.
Energy spectrum of ercitons in GJS type crysta,13. Fiz. tv,:.-. -,ela
6 no.12-3535-3537 D I @S4 (,/, I @A.
1. Inatitut pri-kladnoy fizlki AN Moldav-skoy SSR, Kisl.!n,--v.

107- 2--6-
-NR: ----AP4044946 ESD(c) J-D 0/0181 64/006/009 2729 2736
9
T@CRSSXON
AUTHORIS i Shmiglyuk# M. I I Mookalenko, S. A.
TITLUt On the-polarization effect in the yellow exqiton series of
cuprous oxide crystals
SOURM Pizika tverAcqo tela, ve 61 no* 9# 1964, 2729-2736
TOPIC TAGS: cuproua oxide, line splitting@ exciton po1arizat1.%,;-.o
wave function, crystal structure, band spectrum
ABSTIRACT.-' Gross, Kaplyanskiy et al. (M, v. 2, 2968, 1960; v. 4,
16@0, 1962) found that strong directional deformation polarized the
principal. bands (n >_ 2) of the yellow exciton series of cuprous
oxide, without splitting them. gimilar deformation was found to
polarize and split the X = 6125 A line, wbich'is associated with the
n - I state in the yellow series, and the first lines of the blue
and violet idries, The present pd@er shows that the unusual be-
Card

L l0772,65--------.
MCESSIOWUR& AP4044946
havior of the principal bands of the yellow series is associated witht
the dogeneracy_of the relative motion of excitons, with the complex
structure of the unit cell, and with the mixing and changes in the
wave functions of the crystal terms. The amplitudes of the optical
transition of the split components.of the r4-type np-levels are de-
termined. liatimates show that the splitting of the levels is 6f the
same ordar as the breadth of the absorption lines under pressure-"
The authors tbank Prois. A. G. Samoylovi and K. 0. Tolpygo for
their interest..0 Orig# art. hasi 2 figures, -and 17 formulas.
ASSOCIATION: Institut'prikladnoy fiziki---AS MSSR# Kishinev (Inati-___.
tute of Applied-Physicz*,AV MSSR)
SUBMITTED: Mec61 ENMI 00
SUB CODEs _-!:W, -OP-. M-REP SOVI. 010- OTHERt 001
Card 2/2

L 1?122-65 EWA (h)/f7dG(k)/SWT@1)/EWT W/VWP(b)/T/.E!dPM Fz-6/Peb ASD(a)-,5/
F 6SD/"W1/AFETR/RA EM Q )/ESD (to) /LSD (t )IIJP (6 Y-- - AT/JD
ACCESSION NB.- AP600060 8/0181/64/006/612/IfSW3537
AUTHOM Mo*alenko, 6 A.; Shmiglyuk, M. I.
TITLE: Energy spectrum of Mexcg1knsjn crystals of the CdB type
SOURCE: Fizika tverdogo tela, v. 6, no. 12, 1964, 3536-3537
TOPIC TAGS: ex---iton, energy spectrum, polarization, crystal symmetry, band structure,
energy level
ABSTRACT: It is pointed out that- earlier discussions of the structure and symmetry of
the energy band In crystals of the wurtzite type did nQt take sufficient account of the fact
that the unit cell of such crystals contains two molecules, The authors therefore calcu-
late the actual bands at the point k - 0 and take into account the complex structure of the
unit cell. The possible exciton levels are determined for the relativre-motlon quantum
numbers n - 1, 2, 3; these are determined on the basis of a group-theeretical calculation
made by one of the authors in an earlier paper (Moskalenko, FTT v. 2, 1755, 1960).
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L -,7122-65
ACCESSION NIL AP5000648
The activilles and polarizations vf the exciton levels are calculated in the dipole and
o ma
quadrupole appr x1 tions, the exciton spectrum is discussed briefly in the presence of
an external magnetic field, and the vibrational spectrum of crystals of the CdS type for
k = 0 is presented. The results show that the previously proposed interpretations of the
complex absorption and luminescence spectra in crysWo of US type must be revised.
"The authors thank V. V. Sobolev, whose discussion 'gave Tise to the Idea of the
present communication. 11 Orig. art. -has: 2 figures, 2 formulas, and I table.
ASSOCIATION: Institut prikladnoy fiziki AN MoISSR, Kishinev (Institute of Applied
Physics, AN MoISSR).
SUIBMTTED- 09May64 ENCL.- 00
SUBCODE'. Bs;/Vr NR REP BOV-. 002 OTHER: 004
2/2

ACC NRi AP6030970 ____S_0'U_R_CE_ CODE: __UR/OL8i/6Q008/009/2730/2734
AUIUOR: Bobrysheva, A. I.; Moskalenko, S. A.
ORG: Institute of Applied Physics.AN MSSR, Kishenev (Institut prikladnoy fiziki
AN MSSR@)__
TITLE: The angular dependence of probabilities of three-photon absorption
SOURCE: Fizika tverdogo tela, v. 8, no. 9, 1966, 2730-2734
TOPIC TAGS: nonlinear optics, three photon absorption . jj3..yooooAj nnefrimcAir Y
/'),y 0 70AI? d09AJO, MCFVee d,9#VO, doei"C4.0-0 xo-@e_
ABSTRACT: The dependence of the absorption coefficient on the direction of polariza-
tion vectors of three photons taking part In a transition was considered under the
assumption that the valence band maximum and the conduction band minimum occur in thel
Brillouin zone at a point rc - 0 where the transition takes place. General formulas
were obtained for the angular dependence of the coefficient of three-photon absorp-
tion for an arbitrary orientation of polarization vectors and for the special case of
three identically polarized photons at equal frequencies. Although the derived ex-
pressions are more unwieldy than those obtained for the case of two-photon absorp-
tion, they can be used for band-to-band and exciton traneltions and in the local
C,
enters. OLig. art. has: 6 formulas. JTK
SUD CODE: 20/ SUBM DATE: 30Mar66/ ORIG REP: 003/ OTH REP: 007/ ATD PRESS:
5678

ACC NR. AP6036318 SOURCE CODE: GE/0030/66/018/011/0379/0390
AUT11OR: 'Hosk-alen,kog- Khadshi, P. 1.
ORG: Institute of Applied Physics, Academy of Sciences of the Moldavian SSR,
Kishinev
TITLE: Infrared absorption by excitons due to photoionitation and intraband lattice
scatterina
SOURCE: Physics status solidi, v. 18. no. 11, 1966, 379-390
TOPIC TAGS: IR absorption, absorption coefficient, exciton absorption, joA.,4,j--
4. to i 'd.:"%@ C"'@@ Qld@-
ABSTRAC-r: &qantum: ;echanical theory is preadhted for infrared absorption by
excitons due to photoionization and intraband lattice scattering. An investigation
was made of the coefficient of infrared absorption by excitons in order to evaluate
accurately the role of excitons in laser operation in semiconductors. Infrared
absorption by excitons may take place as the result of the following processes:
1) Transitions from one discrete level of the internal motion of the exciton to
other discrete levels, 2) transitions between discrete levels of two different
series of the exciton, 3) photoionization, 4) photoionization with simultaneous
band-to-band transition of the electron or hole, and 5) intraband scattering of
the excition by acoustical and optical phonons. Only the third and fifth cases
were considered. Taken into account were the interaction between excitons
:ord 112

@,& N Rs - _AP6036 AS
and acoustical and optical phonons and the Maxwell and Bose-Einstein exciton distribul
tion functions. The first- and 'second-order perturbation-theor-I approximations,
which are valid for the range of frequencies c q. were employed. This range is
much greater than T-11, where T to the relaxation timp mf excitons (c q T rel
S.(1)
4
_, " @; '' 'rt2duces, to
ic n (i
t ro
'
i ):-Ii fo 1 - oe dby additior,
s 1) are s3u,@ht' in tKe form of sums of
f i on
new functions A satisfy a sysie:.. of equations).
nite system of equations is obtained for the
-@;mall t, the functions Y and @& are calculated
inte'=tt1%)1'.
'f, and @W@k-t-
ThUL;, a cluied f@'-
3reen functi-,ns.
by an approx;mate me-
Card 6/ j

3/5 17/6 1/064/000/006/006
T',ie method of Green's ... D299/D301
t*-,:)d (iterution). T.e obtiiined approximate forma7us
i n e C o., d o j i E., 1) r Ox i o nT i, e s p e c t ri I m o:.-, e n t s
wt,-,be uXactlY
""t j 0 Un t t s p I @i C L;I
-at:)rs t`,e equilibrium position, as wel.1 as
fruquency dUl-ill,, tiie elcctronic tra,-.sitions. e
for t@,,-, mome:ito are in @qgreement with t`@C us @k
Takin-- into accou.-A the chanre in p!iorlon f"'I"i Ij
qcrease in t"
to an i, ..e half-width of the spectr@ti
v; I ci t I-. -) f -@ 1.,13 -., bs 3 rt ii o n -a n ] e M. 13 s i o nc U.-v e s -.1-ty d i f k'(-, r
L; t c s c i f t i.e f f e c t i s n .2 e c t e d
-requency e
0 3 ) and one obta ins the fun-- tiun 0 e -
te r..-.ine 6@!.e probability of non-radiative transitions. i1f-,er ,I.-
te c. sion is obtained for J'O'. n-
_11 a pproX 4 M,
x@res I
ab;)ve are extended to moru complex PI b;i * The formu-ti5
C"in I)e UY ti"e Pock- Har t ree
Lire references: 5 'Soviet-bloc and '.) non-3oviet-bloc. '.'Le ri,@ f
re.nces to t,,e En,-'.Iio,`.-lantua;,e publications read as fol-Lows : K
Card 7/8

TYABLIKOV, S.V.; MOSKALUKO. V.A.
Mfethod of quantum Green fLnctions in the theory of optical bands
in crystals. DokI. AN SSSR 139 no. 4:851-854 Ag 161. (MIRA 14:7)
1. Matematicheakiy institut im.
teoreticheskoy fiziki Moldavskogo
akademikom N.N. Bogolyubovym4
(Potential, Theory of)
V.A. Stekova AN SSSR i Laboratoriya
filiala AN SSSR. Predstavleno
(Crystal lattices)

KOVARSUY, V.A.j MOSKALENKO, V.A.
T'hermodynamJc theory of perturbat'Irm @or i 'oca! centxr. -zill I
AN Mold. SSR no.9:47-59 062@ ( P, I -,@A " p . -@ ,

MARTIN, P.[Martin, Paul); SHVINGER Yu.[Scbwinger, Julian]-
-KOSKALE14KO, V.A.[translatorl; KASIXAN, A.I.1tanlaLr);
WNCHZ;M'.UMvrM,-V.L. (translator]; ZHABOTINSKIY, Ye.Ye.,
red.; DUDA7EVA, G.H., tekhn. red.
(Theory of mary-particle systems. Brownian motion of a quantum
oscillator]Teoriia sistem =ogikh chastlts. Brounovskoe dvizhe-
nie kvantovogo ostsilliatora [BY) Julian Schwinger. Mosk-va,
Izd-vo inostr. lit-ry, 1962. 167 p. (MIRA 15:12)
(Quantum field thcory) (Potential, Theory of)

41 L 16875-63 E@F(n)_2/W(1)/BDS AY"CASDISBD PU-4 JW
ACCESSION NR-. AR3006299 9/0058/63/000/007/BO06/BO06
SOURM, RZh.-FizAka, Abs. 7B5G
t
Moskaledko. V.
TITLE: Calculation of thermodynamic potential of quantum systems
._@CITED SOURCE.- Sb. 1-yanauchn. sessiya AN MoldSSR. Kishinev, Shtiin-
tsa( 1962, 145-151
TOPIC TAGS; quantum system , thermodynamic potential, electron
phonon system.,. Green's function, vertex operator
TRANSLATION: It is shown that the,principal results of the therma-
'dynamic perturbation theory can be obtained by considering skeleton
vacuum, aelf-energy, and polarization diagrams of the electron-
phonon system and by setting the total Green's functions in cor-
k
@res"Rondence with all the lines of these diagram and the, vertex
J
1/2

L 16875-63
:ACCESSION NRr AR3006299
he right vertices of these diagrams.'
oparator in correspondence with t I
!It was noted that it is possible to include in the theory the Coulomb.
linteraction of the electrons, by replacing the zero Green's function
lof the phonon D (x) by the boson function D(x):
Ph
D (x) D W. V W (-C
ph
where v(x) is the energy ;Df the Coulomb interaction.
@DATE ACO-. l5Aug63 SUB CODEt PH ENCL: 00
Cam

3/18 62/004/010/020/065
B108YBI04
AUTHORs Moakalen-ko, V. A.
TITLEa Leterminqtion of the critical temperature of a superconductor
PERIODICAL: Fizika tverdogo tela, v. 4, no. 10, 1962, 2770 - 2776
TEM The critical temperature of a nuparconductor is calculated on the
basis of FrlJhllch's Hamiltonirin supplemented by a term which takes account
of the Coulomb interaction between the electrons . Since the binding energy
of pairs of electrons or holes with opposite spin orientations and momenta
near the Fermi surface vanishes at the critical temperature, this point is
found by solving the Bethe-Salpeter equation for zero binding energy and
total momentum of the pairs. The critical temporature ia in essential the
eigenvalue of this equation. ',ilth the denotations
U(k I 2j = U(p, 0),@ (k (46)
MPF
2r2 J9 (Pir, Pr (47)
1
P In 6) A, (p, 0); (48)
Card 112

@/181/62/004/010/020/063
Determination of the ... B108/B104
the solution assumes the form
k T, e x 1)
p c,-y
Q n (k pr Q.)
,p (k 4, (k Qj A. (pr 0)) .(50@
n (Prpr ;0) PF 0
where 'je n -(2n*l)n/A, D is the Debye frequency. These solutions are
valid for @> 0.
ASSOCIATIONt Institut fiziki i mateaqtiki AN Mold. SSR, Kishinev
(Institute of Phyuics and Mathematics AS 1dolSSR, Kishinev)
SUBMITTEDs May 16, 1962
Card 212

3/020/62/147/006/016/034
B104/B180
Au':11C-H: Mookalenko, 7. A.
TITLE: A superconductivity criterion
i,ERIODICAL: Akadefaiya nauk SSSR. Doklady, v. 147, no. 6, 1962, 1340-1343
T EXT: The article aims to ascertain the part played by the Coulomb
interaction of metal electrons in the process of establishing the
superconducting state, ignoring a number of other important propertles
of the metals. The interaction between the electron or hole pairs i
described by means of a Bone quantum field; the binding energy of the
pairs is determined according to Cell-Mann and Low (Phy3. Rev., 04, 350
(1951))- It is shown that the Cculonb interaction is screened and,
moreover, leads to renormalization of the phonon frequency and the bare
coupling constant. Assuming the total momentum of the pair to be zero, it
is shown that the enerCy of the collective particle pair excitation is
imaginary. This corresponds to instability of the normal state of the
metal, i.e. the superconducting state occurs. As superconductivity
criterion Qj > 0 is obtained, where
Card 1/3

S/02 62/147/006/016/054
A superconductivity critt!rion :31 04YB1 80
171PF Z, (P ") B (P, 0).
?@tl
ap plj@) - P, In I + - P"- > (52)
is obtained as sufficient criterion for superconductivity where criterion
C.) 2 (q) @-> 0 for the stability of the cryetal lattios is satisfied for all
Q
q