SCIENTIFIC ABSTRACT BALEVSKIY, D. - PATEK, K.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001239420015-4
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: January 3, 2017
• Document Release Date: June 21, 2000
• Sequence Number: 15
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

16(2) SOV/2-50~-3-5/13
AUTHORS: Balevskiyq D., and Tsonev, V.
TITLE: Experience 'Nith Spot-Summary of Census Results in
the Bulgarian Republic. (Opyt vyborochnoy svodki
materialov perepisi naseleniya Narodnoy Raspubliki
Bolgarii).
PERIODICAL: Vestnik statistikil 1959, Nr 3, pp 1~1_L~8 (TJSSR)
ABSTRACT: Preliminary approximate results of the 1956 census
in Bulgaria were obtained in a 5% spot summary
(method of Indian Professor P.Ch.Mekhalonobis),
A preliminary summary for all the 20,000 indices
used in that census being impossible, the pre-
liminary summary was calculated for only 30 major
indices. The article includes the calculations
and the formulae used. It was stated after the com-
plete data procession, that the errors of the pre-
liminary summary were correctly estimated and did
not exceed practically permissible values. The
Card 1/2 method is recommended for the use in future.

PATAR=Kr, F=0 D.
Tokhtlebeeki iswryaniia na razmerite. &ofi"7 Nauka i IsjustTo f195L7
(Vasimosameniaemost v mishinoBtroenoto) ghe technical measurement of dimensions;
precision instruments in the construction of tools. Vol. 1. Measurement of
length5,7
Vol. 3, 1 1954
0~.C2P
SO; Monthly List of. P/Library o ongress, Febr-UM70 IM, Uncl.

PATARINSKI-,-- P.D-.; NIKOLOV, R.Kh. (Bolgarskaya Narodnaya Respublika)
9, - ---
Noncontact measurement of displacements in machine tools. Stan.i
instr. 33 no.6:36-37 Je 162. (~aRA 15:7)
(Machine tools) (Strain gauges)

PATARKAUSHVILTO N.M.
:
. Patbogenesin and cl.'Inica2 treatment of relapses of typhoid a."
paratyphoid fevere.Soob, AN Gruz, SSR 28 nc)o5t621-627 My 162.
(MIPA 18,45)
1. Tb.-lissV;.y gosudarst-,renW zeditainakly inatitut. Submitted
Ma-rch 15, 19610

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VESELOV, S.I.; GUS11CHINA, N.; ILMSHFIN, L.G.; HULINA, L.B.; CHICHILO, I.K.;
SHABUN0, Ye.1-1.1 clillIKEN1,M.G., prof.; YUSHKOV, S.B.; GOSIS, I.N.;
RYABTSEV, N.I.; K11POll0q, V.I.; PETROV, N.I.: PATAPJJYF,'I- A.D.;
BEYRAKH, Z. Ya., doktor tr-khn. nauk
Twenty-first arxiversari, of the Trublication *Promy, n-Lennala
energatika". Prom. Pn-erg. 21 no. 1.,5-7 Ja 166 19:1)
1. Nachallnik Gosudarstvennoy inspektsli po energet'-chf-r~kntau
nadzorLi Ministerstva ei,ergeLlki i elektrifikatsii SSSR (fc,r
Veselov). 2. 1-loskov-koye pravleni.ya nauchno-tekhnicheskngo
obshchestva energeticheskoy promyoldennosti (for Oushubina).
3. Predsedatell Sverdlovskogo pravleniyaNauchno-tekITi~,lif',skogo
obBhcheatva energeticheskoy promyshlennosti (for Nikushk n) .
4. Glav-nyy energetik Peiiogc gosudarstvennogo pocishipnlkovf~ffo
zavoda (for Chichilo). 5. Glarnyy energetik Moskovskoga mp il-
lurgiches~.ogo zavoda Serp I molot' (for Shal- in). 6. Fiektoi,
Moskovskogo energeticheBkogn Inatituta (for Chilik:l-r). 7. Glavnyy
i-nzhaner iristltuta Tyazlipromeloktroproyekt (for Knipovich).
8. Glavnyy konstruktor Moskovskogo zavoda teplovoy avtamati-ki
(for Bayrakh).

ACCESSION NR: AP4043636 S/0056/64/047/002/0598/0600
AUTHDRS: Baty*yev, E. G.; Patashinskiy, A. Z.t Pokrovskiy, V. L.
TITLEs Behavior of thermodynamic quantities near the Lambda point
SOURCE: Zh. eksper. i teor. fiz., v. 47, no. 2, 1964, 598-600
TOPIC TAGS: helium, specific heat, chemical potential, lambda
transition
ABSTRACT: In view of the lack of agreement between the results of
earlier investigations, the authors construct a semi-phenomenological
theory of the X transition in helium, which agrees with the experi-
mental data. This theory is based on two factst 1) The specific
heat has a logarithmic behavior near the curve. 2) The dimension-
less quantity (6W6T) (where JL -- chemicA4 potential) has a large
X
value. This is equivalent to assuming that the X curve has a large
slope in the (IL, T) plane and that C has a logarithmic singularity
p
Card -I
.L/2

_. NR: AP4043636
on the entire X curve. The assumption that Oji/6T) ), is large sig-
nifies that perturbation theory becomes inapplicable at rather small
values of the coupling constant. It is shown that the theory can
be verified quantitatively at the X point. Orig. art. hass 11
formulas. I
ASSOMATION: Institut radiofiziki i elektroniki Siberskogo otdenen-
iya Akademii nauk SSSR (institute of Radiophysics and Electronics,
'Siberian Department, Academy of Sciences SSSR)
SUBM17TEDs l9Feb64 ENCLs 00
SUB ODDEs TD, GP NR REP SOVt 000 OTHERs 005
C,rd 2/2

ACCESSION NR: AP4042573 S/0056/64/046/006/2093/2101
AUTHORS: Baty*yev, E. G.; Patashinskiy, A. Z.; Pokrovskiy, V. L.
TITLE: Phase transition in a superconductor
SOURCE: Zh. eksper. i teor. fiz., v. 46, no. 6, 1964, 2093-2101
TOPIC TAGS: superconductivity, pair theory, boson, Fermi liquid,
phase transition
ABSTRACT: It is pointed out that the model of a Hamiltonian in which
pnly the interaction of particles having opposite momenta is taken
into account is inadequate for the development of the theory of the
phase transition in a superconductor, since it includes the interac-%
tion of large-dimension fluctuations. In order to provide a more
realistic model, the authors consider a Fermi liquid, the transition
temperature T0of which is small compared with the degeneracy tem-
C.,d 1/3

ACCESSION NR; AP4042573
perature 4 (or with the Debye temperature in the case of a metal).
It is shown that the phase transition picture is the same as for a
Bose liquid, in which Cooper pairs play the role of Bose particles.
Only temperatures T > T 0 are considered. It is shown that the re-
gion of logarithmic phase transition in a superconductor is very
small, (T - T0)/T 0 - (T 0/0 4, owing to the weakness of the pair in-
teraction resulting from the small density and small effective mass.
Such a narrow temperature interval is too small for experimental
purposes. It follows from the results that the thermodynamics of
the superconductors as given the Bardeen, Cooper, and Schrieffer
model is valid down to the interval of the logarithmic phase transi-
tion. Orig. art. has: 48 formulas.
ASSOCIATION: Institut radiofiziki i elektroniki Sibirskogo otdei-
eniya ikkademii nau~-, SSSR (Institute of Radiophysics and Eiectron-,cs,
Siberiari Department, Academy of Sciences SSSR)
Card 2/3

ACCESSION NR: AP4042573
SUBMITTED: llDec63 DATE ACQ: ENCL: 00
SUB CODE: GP, NP NR REF SOV: 006 OTHER: 002
Card- 3/3

PATASHINSKIY. A.Z4; POKROVSI=, VA.; KHALATNIKOV, I.M.
'..- W. ~ -
Beggs polse in problem involving a quami-clasBical potential
vell. Zhur. skap. i teor. fiz. 44 no.6t2O62-2078 Js 163.
(MIRA 16W
1. Institut fizichatskikh problem AN SSSR i Institut teolofizi)d
Sibirskogo otdoloniya AN SSSR.
(Potential, Theory of)

PATASHIKSKIY, A.Z.; PQMVSKIY, V.L.; KRALATNIKOrV, I.M.
Regier poles in nonrelativistic quantum mechanics, Zhw, eksp. i t4eore
M. 43 ~o.3:1.117-3.119 162. (KMk 15.10)
1. Institut fizicheskikh problem AN SSSR, In8titut radiofiziki i
elektroni1d SibizabbSe otdeleniya~Ali,SSSR..tflnot:Lt"'teplaftzUd,,
Sibirskogo alftleniyw~M-SSSA; - - -
(Hatric;(.4) (Quantum theory)

FATASHINSKIY, A. Z.
A. Z. Patashinskiy and V. L. Pokro-iskiy, "Fhase 'ArancitionE of th'~- '"Acvnij
Kind in Eose-Liquids.11
report submitted for the Conference on Solid State Theory, held in "oscow,
Decen,ber 2-12, 1963, sponsored by the Soviet Academy of Sciences.

PATASHINSKIY, A-Z-; POKKOVSKIY, V-L.; KHALACNIKOV, I.M.
Studying of an S-matrix in a complex space of angular momenta
in the quasi-classical case. Zhur. eksp. i teor. fiz. 45
n063:760-~771 S 163. (KRA 16:10)
1. Institut teplofiziki Sibirskogo otdoleniya AN SSSR, Institut
radlofiziki i elektroniki Sibirskogo otdoleniya AN SSSR i
Institut fizicheakikh problem All SSSR.
(Matrices) (Quantum theory)

1'giMwl r-1
A
4 U56 W ~A -SD-
ACC2MOff HR A?3003139 s/oos6/63/o"/bo6/eo62/2078
7
AUTHMU- I-"aM4 A. Z. I FohyftMy I Vo L X_hslatnikov, - 1. M.
Tr=: - Regge poles- in. problems concerning a quafii-clusical potential vell
Y.4
j;Ot=1 zhwaal. WaTer. -1 teor..f1zik1,,.v, xio, 6; 1963, W4*20'78
TOPIC TAM, Rme poles.- rectangtilar spherical potential vell'p Apical and
Umpbamicalpoles., levels and I resonances.
ABSTRACTt. A method recently W*pwe&'by the authors fior findjnx the Poles
of the scattering phase (Regge.Toles) for the Tmi-clahsiml potentials
-tW to A
(M= V. 43s 111 7j 1962) Is lyze th simiest "iem.of Regge
pats for the- cue of rectanguler spherically-symetrio potentialven# In
this come the scattering phase-abift can 'be explicitly exp ask in terms of
Bessel functions. In looking for the Rogge poles.. the proviotisly developed
method is used to tollowl the, -properties of the phase shift along level lines
Two series of poles am found %*ysical- " -unpbarsical." Mw~ tbaracter. lot
the motion of the poles -Vith - 4wQtion of the energy is then clarified IMA
finally some general relations are established between the nm&er of levels 77.
and
1/2

BAWYEV, E.G. ; PATA' 11111,"F, I Y, -, 1 AH )VI,MY, V. I..
Behavior of theralud., 3 warititle.9 near the 'R-cur-v-. Zhur. ekij~. I
t,qpr. fiz. 1,7 nc,~C98.,:,00 kp 164. (XIPA 17.1G)
1. Lnstitut I elektroniki Sibirskogo o-delentya AN SSSR.

j
ACC_NRi__ 10436 SOME CODE: urVo3%/66/oo3/oo5/0208/0212
AUTHOR: -6 0 ze
~Llzl A
ORG. ~~IM~Xqf tke ib
ment of the An#m of Sclences.843SH (VN11Y111
Sibirskogo otdoleniya Akademii nauk SSSR)
IMIU: Density correlation near the critical point
SOURCE; Zhurnal eksperimentallnoy I teoreticheskoy fiziki. Pis'ma v redaktsiyu.
t P~rilozheniyejp v- 3,, no. 5~ 1966, 208-2.12
'~.TOPXC TAGS: critical point., correlation function, fluid density,--phase transition,
't hermo4ynamic characteristicy potential energy -
ABSTRACT: The purpose of the article is to determine, within the framework of the
phenomenological theory, the dependence of the correlation ftuiction, of the density
on the distance near thle_critical point of a liquid-vapor system, using data from
thermodynamic experiments. The assumptions under which the calculations are made
-are similar to those made by the author earlier (with V. L. Pokrovskiy, ZhETF v. 50,
439j, 3966). The increment In the number of particles in a given region due to a
change in the thermodynamic potential Is calculatedj and a final expression is given
lor the density as a function of the relative changes of the critical potential and
of tbe,temperature difference. The correlation function is then shown to be propor-
tional to the distance raised to the -3/2 power. 7he tber=OynamIc potential used
to c;btain this deduction leads to thermodynamic consequences which agree qualitative-
Card 2/2

--PATASHIKSKIY, A.Z.
Position of sirCular~Jties in Feynman diagrams. Zhur.eksp.i teor.fiz.
42 w.3:812-819 Mr 162. OMIA 15.4)
1. Institut teplofiziki Sibirskogo otdeleniya Ali SSSR.
(Quantum field theory)

L, I-', "
S /~,- 5 06 /06 2,,'C, 4 30 4 /C4
B 106/310 2
Z.
"TLi a
i. : inteeral r,~present tions in perturbation theory
?--'RIOD1C-"; Zhurnall ~ksperimerital'rsoy i teoreticheskoy fiziki,
no. 4 ( lu 1~,62, 1371 - 1377
T. IXT : Int,~.:-ral repreFentations of Feyn~~an graphs drawn with the aid of
perturbation theory are considered. The boundary of a region in which tl~e
spectral function vanishes 'when the masses are equal is considered. '.'o
find the intersection pf such analytical regions of all j:raphs of a iven
p:rocess the authors us 6d the technique of constructinf; major Fcynman
Ej~fiplhs (N. 'sakanishi. Suppl. Protr. Tneor. Phys., 18, 1, 1961). Tnereby a
Problem- witt, arbitrary interaction can Ire reduced to a problem in wricn
three lines join at each, vertex. There are 3 figures.
ASSOCIATICN: Institut teplcfiziki Sibirskogo otdeleriya Lzaaemii naue. ---.311,
(Institute of Aeat Physics of the Siberian Department cf
the Academy of Sciences USSR)
SUB,.!ITT--:): April 12, !962
Card 1/1

PATASHINSKIY, AJ ; RUDIK, A.P.; SUDAKCV, V.V.
Characteristics of the scattering amplJt-ude in pertrubation
theory. Zhur. eksp. i teor. fiz. 40 nq.1:298-311 Ja 161.
(K[RA 14:6)
(Field theory)

TATASHIPSKIT, A.Z.
I- ---
Symmetry of solutions obtained "a the determination of
characteristic of Feynwan diagrams by Landau's method.
Zhur. eksp. t teor. fiz. 39 no. 6:1744-1746 D 160. (MIRA 14:1)
1. Sibirskoye otdelenive Akademit nauk SSSR.
(Pield theory)

88453
S/05 6o/039/006/04',/063
,44-.4-S-00 E006YI3063
AUTHOR:
TITLE: Symmetry of Solutions Obtained by Landau's Method for
Determinling the Position of Singularities of Feynman Graphs
PERIODICAL: Zhurnal ekoperimentallnoy i teoreticheskoy fiziki, 1960,
Vol. 39, No. 6(12), pp. 1744-1746
TEXT: The author has demonstrated that for some graphs, the solutions
obtained by Landau's method for determining the position of singularities
are symmetric. The singularities were determined by L. D. Landau's method
for symmetric graphs, i.e., they had to be symmetric with respect to
transformations, in which the invariants characterizing the position of
singularities do not vary. In the quadratic graphs concerned, these symmary-
conserving transfo mations consist in reflections and rotations through
the angle n. If symmetric solutions are assumed to exist for the angles
and the parameters a, the calculations for the determination of singulari-
ties in symmetric graphs may be simplified considerably. The assumption of
symmetry is related to the problem of the uniqueness of the solution with
Card 1/3

88453
Symmetry of Solutions Obtained by Landau's S/O56/6O/039/OO6/O4r,-/'063A
Method for Determining the Position of B006/BO63
Singularities of Feynman Graphs
respect to a for given external invariants of Landau's set of equations:
aiqi , 0, a > 0, q2_M 2 _0. This equation, together with the theorems
,5-- 1 1 1
of conservation, defines the inner vectors q as linear combinations of the
outer vectors p with the coefficients depending on a. The set of equations
P, [a,,(p.p.)] - 0, where i,k, - 1 ... 1; s, m = 1, 2, 3, is studied next.
1 is the number of inner lines of the graph; Pi is a polynomial homogeneous
with respect to a. For symmetry-conserving transformations of a symmetric
graph, this set goes over into itself. A unique solution to this set
obtained with given values of the outer parameters is symmetric. The
symmetries of a and the angles are clearly interrelated. The asymmetric
solutions available for symmetric graphs do not satisfy the condition of
positive aV A general proof for the assumption of symmetric solutions
cannot be given. For the quadratic graphs under consideration it has been
shown that the symmetry of the solution follows from the condition ai > 0.
Card 2/3

88453
Symmetry of Solutions Obtained by Landau's S/056 60/039/006/045/063
Method for Determining the Position of B006YB063
Singularities of Feynman Graphs
V. V. Sudakov is thanked for interest and advice. There are 2 figures and
2 Soviet references.
ASSOCIATION: Sibirskoye otdeleniye 1kademii nauk SSSR (Siberian Branch of
the Academy of Sciences USSR)
SUBMITTED: july 9, 196o
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ACCESSION NR: AP4025932 S/0056/64/046/003/0994/1016 i
AUTHORS: Patashinskiy, A. Z.; Pokrovskiy, V. L.
TITLE: Second order phase transition in a Bose liquid
SOURCE: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, v. 46,
no. 3, 1964, 994-1016
TOPIC TAGS: li'quid'helium, Bose liquid, second order phase transi-
tion, two particle interaction, many particle interaction, transi-
ition temperature, Green's function technique, diagram technique,
quasiparticle spectrum, fluctuation spectrum, specific heat
ABSTRACT: A theory is proposed for second-order phase transitions
in liquid helium. It is shown that-not only two-particle but many-
particle interactions become important, so that the only smallness
parameter introduced in the theory is the relative absolute devia-
tion from the transition temperature IV - T 01 /T The calculations
00
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ACCESSION NR: AP4025932 _7
employ Green's-function and diagram techniques. The chief quanti-
ties studied are the Green's function, which determines the fluctua-
tion spectrum, and the total vertex part of the diagram, which de-
scribes the t-vo-particle scattering. The liquid helium near,the
phase transition curve . assumed to be an ideal gas of quasiparticle
with a spectrum e = Ap3~2s, and physical arguments are advanced in
favor of this assumption. The theory shows that the width of the
phase transition region depends on the interaction potential between
the particles, but the fluctuation spectrum and the particle scat-
tering amplitude are the same for any positive potential, and are
independent of the details of the interaction at small distances.
At small momenta the effective interaction is determined by a di-
mensionless charge, which is defined uniquely by the consistency
conditions for the theory, but which cannot be determined accurately
because the equations are too complicated. Some arguments are ad-
vanced to prove that the mathematical scheme proposed is the only
possible one. The main theoretical conclusions of the theory are:
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ACCESSION NR: AP4025932
(1) the specific heat has a logarithmic behavior on both sides of
the equilibrium curve; (2) the coefficients preceding the term
ln(IT - T01/T0) are the same on both sides of the ), curve; (3) the
,specific heat experiences a finite jump which is superimposed'on
,the logarithmic curve. All the results have been confirmed experi-
mentally. The probXem q9 second-ordpr phase trarisitions and its
.present status are discussed. "We thank A. A. Vedenov for numerous
discussions contributing to the clarification of the physical as-
pects'of the problem, A.. I. Larkin, V. V. Sudakov# D. V. Shirkov,'
.G. M. Eliashberg, and other participants of the second Odessa Sym-
,posium on Theoretical Physics for fruitful discussion, and E. G.
Baty*yev, S. K. Savviny*kh, and G. I. Surdutovich for useful remarks
;which helped eliminate some errors. The authors point to the role
played by Yu. B. Rumer whose undiminishing enthusiasm has supported
research in this field for many years." Orig. art. has: 1 figure
and 108 formulas.
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ACCESSION NR: AP4025932
'ASSOCIATION: Institut teplofiziki SAirskogo otdeleniya AN SSSR
AInstitute of Heat Physics, Siberian Department,. Academy of Sciences
USSR); Institut radiofigiki i elektronikia Sibirskogo otdeleniya
AN SSSR (Institute of Wipphysics and Electronics, Siberian Depart-
ment AN SSSR)
,SUBMITTED: 14Aug63 DATE ACQ: 16Apr64 ENCL: 00
;SUB CODE: PH NR REP SOV: 006 OTHERs 004
Cord _-4/4

PATASUBSKIL A.Z.
Integral repreoentations in perturbation theory. Zhur. eksp.
i teor. fia. 43 no.4:1371-1377 0 162. (MIRA 15:11)
1. Institut teplofiziki Sibirskogo otdeleniya AN SSSR.
(FWAwbation)
(Calculuo, Integral)

?ATASHINSEY, A. 1%; PI ICRUV'SMY, V. L.
T___ - - __ -, - ___ - -
Second-order phase transition in a Bose fluid. Zhur.eki3p. i teor.
fiz. 46 no. 3:994-1016 Mr 164. (m:R.4

89222
t 8/056/61/040/001/028/037
B102/B212
AUTHORSt PatashinBkiy,_A-.-Z., Rudik, A. P., Sudakov, V. V.
TITdo Singulikritits-.3 of scattering amplitudes in the perturbation
theory
PERIODICALs' Zhurnal eksperim'entallnoy i teoreticheskoy fiziki, V. 40,
1, 1961, 298-311
TEXTs A study has been made of the position of singularities of the
scattering amplitude and its asymptotic behavior in the perturbation
theory. Due to conservation of the four-momentum of scattered particles,
the four-momenta of the scattering and virtual particles are located in a
three-dimensional space for any perturbation-theoretical graph. The three
linearly independent four-vectors are chosen for basis vectorst W - p
2 2 1+P2
p1+p3' P pl+p4 . For p i i
2QW M11 - M,3 - M31 + M,-, 2WP - M12 - Ms, + MIII MIII
2QP -. M12 + Mat M,31 - M:, Q1 + W1 + PI - M11 + M,' + M,' + MI. (1.2) holds.
Card I

89222
S/056/61/040/001/028/037
B102/B212
Singuliritles of scattering...
The scattering amplitude is characterized by six parameterej for con-
M2 2 2.
venience they are chosen to bet and the invariants W and 0. Only the
singularities with real invariants are considered. There is a certain
relation between W2 1 Q2 and the masses of the virtual particles'at the
singularityl this relation is ch racterized for graphs of the type shown
in Fig.1 by the ratios between N i and the squares of masses of virtual
3
articles. Pig:i2 shows some singular curves of this graph.
The authors then wanted to find out under what conditions
anomalous singularities do occur for more complicated (than
Fig.1) graphs of perturbation theory. An analysis is made
for an asymptotic case, there on arint approaches
;0V
L 4i~ infinity. The condition that JW Q )I