SCIENTIFIC ABSTRACT GACHKOVSKIY, V.F. - GADALIN, YU.I.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000513930008-2
• Release Decision: RIF
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• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: March 13, 2001
• Sequence Number: 8
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

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Interaction between proteins and /1-dextrines with varlvine length of termlLnal molecular
branches. Dokl. All 33111 36, 'lo. 1, 11052.
9. Monthl List of Russian Accessions, Library of Congress, Dec-,mber 1952-A~W, Uncl.

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6 WA*4"S, 3 WZYM, 6 M1;T0kd. --~ ASM p ti ~m
diffuse scatt Ing front specimens of IsIg
tra 0b alnV sor~d on ftf~ in Stol I or I1tj() wem
tit the adso bate to 37V to remove
fh:. fi:u(toerreiseetc e 111ithilly has a bNe
C. the a(isorbat
color, which disappears on such heating. Tile sjKT imoiq
were subjected to action of .0 or various org. solimms, atid
the resultint spectra are showit. The res-ults clearly Ow-Y
the some origin of both absorption and fluortsmuce qpoctra,
When the vaporsof hig-kee: plithalocyanine are sil~AirlxA (tit
MgO, and the adsorbates nre exlxm-d to 0, f1twrecetice
tdoes not occur. Similarcipti. could not he run with chlo.
tophyll owing to Its low order of stability ois MgO. lfo~%cver,
repeated evacuation at 20, of adsorbates of chlorophyll tin
MgOfrorn HtO gave specimens which displayed 2 witkning
~
'of the main absorption max. its the direction of shurter wave
'lengths. while passage of 0 into such preg ivi. increased (tic
Intensity of absorption in 025--&) mp regio:1 for fluore9ceilce
and 620-40 for absorption spectra. Adsorption (if 11(011.
1340, or 1110 onto such specimens, folloi%ed by rvacuatioij,
led todisappearanceof themain fluorescencL handand apj~ar-
lance of a sharp max. at 648 ma, which corresponds to it niu-.
of ON mp of the fluorescence spectrunt of the product of the
dark process; In case of IIjO this max. gradually shifts
to 671 m#. With hfg plithalocyanine the shift is to GM
MIA. Generally under conditions which preclude total
destructionof the mols.. the events obwrved with whoi-Fil,
of chlorophyll am paralleled by those of Nlg

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Category: USrR / Illysical Chemistry Surface pbenomena. Adsorpticn.
Chromatography. Ion exchanee. B-13
Abs Jour: Referat Zhur-Khimiya, Ho 9, 19517, _30187
Author Gachkovekiy V. F.
Inst IAMR-de-my-or sciences 'UssR
Title Strv.cture of Adsorbates of Fagnesl_um Ilrthul,-cyanin cn MgO, A1403,
Zn~), Glass and Their Fluorescence.
Crig Pub: Dokl. AN 33SSR, 00, No 3, 4o8-41o
Abstract: By means of the electron microscope a study was made of the distri-
bution of magnesium phthalocyanin (I) at crystal faces z~f varicus
sorbents (S). At S capable of actively combining with moleculea of
1, for example at MZO, AlO,, ZnO, a riCorcusly criunted adsorption
takes place; shape of the particles is nct altered; I is not eluted
into solution. ~n increase of the arcunt of adsorbate, following
repeated consecutive adsorption, there is otserved the ~ccurence
of Increased formations of conglomerated particles coated with the
pigment. At this stage there is possible a desorption of I from
the 3, o.r its sublimation in vacuum. At iractive S (glass-or
Card 1/2 -6-

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Nature of elementary photoreactions in the chlorophyll [with summary
in Inglishl. Biofizilm 2 no.6o.756-763 157. (HIM M12)
1. Ins'Atut bIokhIzII In. A,.W. Bakha. AN SSSR, Xoskva.
(CHLOROPHM) (LIGHT-PHYSIOLOGICAL XFFBCT)

AUTHORr-- Gaohkovskiy, V. 20-119-2-40/60
-TITLEj The Dleenpwy , of the Conoeptloh Of Two Forms of
Chlorophyll - a Fluorescent and a Non-10luoreacent - With
the Spectral Properties'of a Living Leaf Irkesootvetstviye
kontseptsiy dvukh form khlorofilla (fluoirstairvushchey i
nefluoreateiru,yushohey) spektralonym evoystvam zhivogo listA3
PERIODICAU Doklady Akademii Nauk SSSR, 1958, Vol@ 119, Nr 2,
PP# 333-335 (USSR)*"-
ABSTRACTs The red shifting of the absorption and fluorescence spectra
of chlorophyll in vivo is explained by several authors as
the result of the aggregated state of its molecules in the
leaf' cells. Inspite of the fact that the absorption spectrum
in the molecule aggregation is shifted in the direction of
long waves while the same spectrum of the living leaf shows
a red shifting, the state of the chlorophyll molecules in
both of these oases is not at all identical as has been
insistingly maintained. According to the opinion of the
author the concepts on the chlorophyll state in vivo are
unoorrectly based on the first type of the shifting (ref. 1).
Card 1/4 Moreover, the author gives a critical survey of the opinions

The Discrepwcy of the Conception of Two Forms of 20-119.2-40/60
Chlorophyll a Fluorescent and a Non-Fluorescent - With
the Spectral Properties of a Living Leaf
in technical literature concerning this fact (ref. 1-6).
According to this opinion the absorption bands of the
aggregated non-fluorescent chlorophyll form should
completely cover the not shifted fluorescence band of the
moncmer active form in the plant (fig. 18). If it is
assumed that a part of the band in not filtered (fig. 1A),
the 2nd side maximum of the fluorescence of the monomer
form should be in the range of the spectrum corresponding
to the molecular solutions, that is at 720 1 and 2) the
distance between the axes of the abo6rption and and the
bands of the "apparent" main maximum of fluorescence
should be decreased (fig. 1 a, quantity 0). However, in
nature neither the first nor the second happens. From the
following it can be seen that the spectral properties of
chlorophyll in the living leaf do not correspond to the
abovo poi`ntsj The correctness of the rule of reflecting
symmotry was proved for complicated spectra of the chloropbyll
and of magnesium phth'alocyanine having oscillating
structure (ref. 5-8). This rule is also valid after
Card 214 various changes of the absorption spectra which take place

The Disarepancy of the Conception of Two Forma of 20-119-2 -40160
Chloropbyll a Fluorescent and a Non-Fluorescent - With
the Spectral Proportiee of a Living Leaf
duo to chemical conversions of the magnesium complexes in
tho molecules of these dyes (ref. 6). Thus, all fluorescence
bands caused by a red shifting of the absorption spectrum
aro shifted as a uniform whole in the direction of the
long waves at the red shifting of the fluorescence band.
This holds good for the whole extent also for the red
shifting of the fluorescence spectrum of chlorophyll in
vivo (with Hibiscus ross, chinensis, fig. 2, moreover, ref.
4, as oompared to the data of tab. 1). These data show
that the position of the main maximum of fluorescence in
chlorophyll in vivo can be determined with sufficient
preciseness according to the position of its side maximum
G--.738 MA ref. 10). The "red shifting" of the latter
re-Plects an aotual."red shifting" of the main maximum in
vilro. Thus, the shifting of the fluorescence spectrum in
the living leaf in the red direction cannot be explained
by an apparent shifting caused by a filtering effect.
Since the fluorescence spectrum is connected with the
Card 3/4 ab3orption spectrum by the rule of mirror symmetry the

i-"-01-8-crepancy ~ of the Conception of Two Forms of 20-119-2-40/60
Chloropkqll a Fluorescent and a Non-Fluorescent - With
the Spectral Properties of a Living Leaf
latter does not reflect the aggregated but the mono-
molecular state of chlorophyll in living leaf. Thus, the
spectral properties of chlorophyll in vivo and in vitro
make possible the determination of the monomoleoular
dititribution of the chlorophyll molecules in the leaf
cells of plants. Therefore, the concept of the "2 chlorophyll
foxms" has to be refused. This holds also for that of the
"3 chlorophyll forms".
There are 2 figures, I table, and 12 referencess 5 of
which are Soviet,
ASSOCIATIONs Institut biokhimii im. A. N. Bakha Akademii nauk SSSR
(Institute for Biochemistry imeni A. N. Bakh,,AS USSR)
PRESENTED: June 18, 1956, by V. X. Kondratlyev, Member, Academy
of Sciences AS 'USSR
SUBMITTED: January 4, 1957
Card 4/4

GAGHMVSXIY,,,Y,.- .-I -
/". DiscreoAmy between conception assuming two forms of chlorophyll
(fluorescent and nonfluorescent) and the spectrnl properties of live
lanvos. Dokl. AN SSSR 119 no.2:313-335 Mr 158. (MIRA 11:5)
1. Ingtitut biokhimii im. A.N. BRkhR AN SSSR. Predstnvleno
nknde-nikom V.Ni Kondrntlyevym.
(CRWROPHYLL--SPECTRA) (LRAVr.S)

ftuorescence spectra of photoreduced forms of chlorophyll and
pheophytin [with summFkry In English]. Biofizika 4 no.1:19-26
Ja 159. (KIRA 12:1)
1. InBtitut blokhimii im. A.N. Bakha AN SSSR, Moskva.
(CHU)ROPHYLL,
fluorescence spectra of photoreduced forms of
chlorophyll & pheophytin (Rus))

S/020 u'0/133/006/008/016
B004YBo64
AUTEM Gachkovskiy, V. F.
TITLE: The Effect of the iolecular Weight on the Luminescence of
High-molecular Compounds
PERIODICALj Doklady Akademii nauk SSSR, 1960, Vol. 133, No. 6,
PP. 1358-1360
TEXTt The author reports on a qualitati analysis of the fluorescence
spectra of polymers. Polyphenylacet lene, PO Y-p-carboxy phenyl
methaeTylamide, polystyren 1polymethacrylat 4a9 well as amino acids,
desoxy:ribonucleic acid, and ribonucleic acid were analyzed. The
f luoreacence excited with a 1TPK -2 (PRK-2) lamp and a W -4 (UFS-4)
light filter, was recorded on "Paninfra" plates by means of a spectro-
graph, and the apectrum was measured with an MO -4 (MF-4) microphotometer.
Fig. 1 (insert after p. 1332) shows the fluorescence spectra of some
of the compoundfj mentioned. The author notes the similarity of the
structures of these spectra, which is particularly marked in compounds
with ecinjugate double bonds. The spectra are continuous in the range of
Card 1/3

The Effect of the Molecular Weight on the S/020~60/133/006/008/016
Luminescence of High-molecular Compounds B004/ 064
300 - 700 mp , with constant maxima in the red range and a broad diffuse
peak In the bliio-violet range. From the change in the spectra of poly-
phenylacetyleno) with rising molecular weight (1100, 1300, 1500) as shown
in Fig. 2, the author concludes that it Is possible to determine the
molecular weight of polymers in the solid state on the basis of
fluorescence spectra. The changes consist in a bathochromic shift, in a V/
decrease of i-n-.ensity of the broad blue-violet band, and in an increase
of the intensi-y of the red band with rising molecular weight., The
total light in-ensity of the fluorescence spectrum decreases with
increasing molocular weight. The spectra of polystyrene (Fig- 3) with
molecular weights of 300,000; 250,000; and 180,000 show the same
behavior. The author thanks Id. 1. Cherkashin and 0. G. Sellskaya.for.the
polyphenylacetylene samples placed at his~dispoval, and P.Yu.Butyagin,
A. M. Dubinakkja and 1. 0. Kolbanev for polystyrene samples. There are
3 figures and 1 Soviet reference.
ASSOCIATION: Institut khimicheskoy fiziki Akademii nauk SSSR (Institute
of Chemical Physics of the Academy of Sciences USSR)
Card 2/3

The Effect of the 1,11olecular Weight on the "0/020/60/133/006/006/'016
Lunin:?scence of High-molecular Compounds B004/1,306,1
PRESi;:'.%D: April 14, 1960, by V. N. Kondratlyev, Academician
SUBUNTEDs April 5, ig6o
I
L/
Card !,13

S102 62/143/001/025/030
B101YB147
A UTH OR Gachkoys iy, V. F.
TITL7: Universal fluorescence spectra of polymers
:'~-R L)D 1 CA L: Aka-lemiya nank SSSR. Doklady, v. 143, no. 1, 1962, 50 - 152
T.-I'X? :The quantitative examination of the spectra (Fig. 1) was conducted
with an 1,"-73 (IS" - 73) sensitometer. The* spectra are aosumed to reach
into the near infrared, an asnumption being studied at present. The
a-,parent "shift" of the maxima toward longer waves with increasing
molecul,.r 7,eight is caused by a change in the intensity distribution
in non-renolved fluorescence bands (e. g. of the 450 m, maximum).
Solution of this problem with an apparatus of higher resolution is
neceZaary. Chain elongation shifts the m3ximum intensity toward longer
zaves %ithout affecting the bands. Thus, not the energy, but only the
intensity of electron transfers changes. There are 1 figure and 1 Soviet-
reference.
Card la

S/020/62/143/001/025/030
Universal fluorescence ... B101/B147 -
ASSOCIATION: Institut khicicheskoy fiziki Akademii nauk SSSR
.(Institute of Chemical Physics of the Academy of
Sciences USSR)
PRES~MTED: October 16, 1)61, by V. H. Kondratlyev, Academician
SUB3',TTTE) : October 11, 1961
Fig. 1. Univer.,)al fluorescence spectra (in relative equienergetic units).
N polyphenyl acet,,,,lcnc %ith average MY: (1) 1200; ?2) 1300; (3) 1500
slit 0.3 rrm, exposure 15(rlin); (61) polystyrenes, ZY: (1) 180.000;
(2) 250-000; (5) 300-000 exposure 3 min); (:) poly-para-carbethoxy phenyl-
-metbacryl ami,e, fractionate MIN: (1) 220.000; (2) 355-000; (3) 870-000
exposure 12 min); ('4) polyhexines, MW: (1) 8000 (exposure 24 min);
2) 80.000 (exposure 6o min).
~
Card 2/3

ACCESSION NRs AT4020715 S/0000/63/000/000/0253/0259
AUTHOR: Bendersklyp Vo A.; Kogan, B. Ya.; Gachkovskly, V, F.; Shlyapnikova, 1. A.
TITLE: Electrical and magnetic properties of polymers with conjuga4ed bonds.
1. Polyphan)-lacetylen63.
SOURCE: Karbotsapn avy*sokomolekuly*rny*ye soyedinonlya (Carbon-chain macro.
molecular compounds sbornlk statay, Moscow, Ixd-vo AN SSSR, 1963, 253-259
TOPIC TAGS: polymer, conjugated polymer, polymer electrical property, polymer
magnetic property, polyphenylacetytene, paramagnetic resonance, phenylacetylene
polymerization
's work Initiates a study of the nature of paramagentic centers, the
ABSTRACT: Tht
mechanisms of conductivity and the relationship between the two characteristics in
conjugated polymers. The electron paramagentic resonance spectra, the electrical
conductivity and the optical centers were Investigated In fract;ons of the product
of thermal polymerization of phenylacetylene (atomic weight 670). The benzene- -
and toluene-soluble fractions, with atomic w Ights ranging from 340 to 1870, were
obtained by successive sedimentation. in A tests conducted In nitrogen at 90-
a 2910-5 mm vacuum, a 975 kcps lKhF-2 paramagnetic resonance
370 K and, In part, In.
AReFtrometer was used, The paramagnetic center concentration and the saturation
Gird 1/2

ACCESSION NR: AT1020715
factor determined from the electron paramagnetic resonance spectra, were found to'
Increase as the molecular weight Increases. The duration TI of spin-lattice re-
laxatlon and Its dependence on temperature were determined. The signal Intensity
In unsaturated electron paramagnetic resonance absorption strictly follows the
Curie law, the line center having the Lorentz form and the line wings being describ-
ed by the Gaussian curve. A form analysis showed that a paramagnetic center con-
tains at most 11 equivalent protons. It Is concluded that the paramagnetism of
the polymers stems from small local centers rather than from molecules of the basic
substance, the activation energy of dark conductivity Is independent of ff~olecular
weight, and the carriers' birth results from the thermal Ionization of luminescent
centers. "in conclusion, we would like to thank L. A. Blyt-menfelld for discussion
of our work." OrIg. art. hasi 4 graphs and 14 formulas.
ASSOCIATION: INSTITUT KHIMICHESKOY FIZIKI AN SSSR (institute of Chemical Physics,
AN MR)
SUBvdTTED,, I13JuI62 DATE ACQ: 20Mar64 ENCL: .00
No REF SOVs. 012 OTHER: 004.
SUB CODE:
Card _2/2
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7", 77 7
77

'FPRI'FWP(J)IF,FF(--.)IKW7(1)IF,WT(m)IBD,-q--AMr,IA-SD--PB-41pc-hlpr-4--!U~IWIf
L 11216-63 YI?
,ACCISSION NR: AP3001630 3/0192/63/004/003/0424j(0432
77
AUTEOR: Gachkovskiy,, V. F.
TITIE: - Universal gRqEtLqv= of polymers. lo Results of qualitative measurement
SOULCE: Zhurral Btruk-turnoy khimii, v. 4, no. 3, 1963, 424-432
TOPIC TAGS: fluorescence of polymers, fluorescence spectra, polyphenylacetylenes,
polypropylene, polyethylene, polyvinyl alcohol
ABSIRACT: The fluorescence spectra of-the following polymers in solid state was
in-vvstigated; polypherwlacetyleneali, polyhexene, poly-p-diethynylbensene, poly-p-
pherylene,. poly-p-xTlylenep(tpoly-styrone~l:lpoligsEylonitrile,lpolym~t thacrylate,
poly--o- and poly-p-carbethovphenylmethaceylamidee, polyproptlene 'jpolLeLhZlene,
polyvinyl alcohol,jand polyvjMl chloride4 The universal characte of
rescence spectF-awAs shown as well as the kndividuality of the dependence of the
structural change of the fluorescence spectra on the degree of polymerization,
This characteristic leads to the suggested method of detemining the molecular
weight of polymers of a homologous series by displacement of the blue-violet bands
of the fluorescence spectra, or by changing their intensity. "The author expresses
Card 1/2

11216-63
ACCE33ION NR: AP3001630
approciation to Me Is Cherkashin, 0. 0. Sel'skayat A. A. Slinkin, Me Go Krakovyak,
iL-L'--K-0P?A-nGv, F. Tu.- Butzw , -No i.-Ts-y;Tkoya 29-y-
I and 1.2 ~-~
fdr their gracious provision of Pol er samples, and to A. M. Dubin3kaya and Re Re
Filatova for ultrasonic degradatio f polyacrylonitrile-T. 1-1 --N conclusion, Ahe
autheFr-expres3ts deep appreciatio to ~. No Semenoy for permitting the execution
of this work ard to L. A.- Blumenfeltd for constant interest in it~" Orig. art.
has: 8 figures and 2 formulas.
ASSOCIATION: Institut khimicheakoy fiziki. AN SSW (Institute of Chemical. Physicss
AN SSSR)
SUBMITTED: O4May62 DATE ACQ: OlJul63 ENCL: 00
SUB CODE: 00 NO REF SOV: 004 OTHER: 005
C-,d 2/2
......... . .. ........ .. ..

1-L 61647-65 W(DIVEMOIFUTWIT- PC-44/pr-4 Irm
WCCESS W-NR: AP5015597 MV0062/65/000/005/0932/0933
541.67+547,672
AUTHOR:
~alikoy V. F.; Cafurovo.Kh. CachkovskiX. V. F.; Parini, V. P.;
Blyumenfall, L. _,.A. A.
TITLE: Effect of Paramagnetic centers on some of the physical properties of
anthracene
-I-SCYURCEi.--AI4-SSSR.--Tzvestiya-i-Serlya-khimicheskayef,,-noo-5, 1J65y--93Z-933---_____
TOPIC TAGS: &nthreceqe, paramagnetic resonance,'electron spin resonance, fluorss-~
cence, photoconductivity
ABSTRACI: It has been shown earlier-that the presence of locaI netic centers
affects the chemical behavior of compounds with conlugated bondsT,particularly
',beir reactivity (effect of local activation). the authors found that the pre-
i oence of magnetic centers also has a considerable effect on the physical proper.
tlea of ouch compounds. The soluble paramagnetic fraction (MW-1000, ESR signal
intensity 2.6 x 1018 spLn/g) separated from the thermolysis products of anthra-
cene was introduced into anthracene purified by tone melting. Samples of anchra-
cenG do;ed in this manner contained paramagnetic centers in concentrations- of
Cord 1/2

L 61647-55
ACCESSIC'N NR: AP5015597
10 17 11
1 10 -10 spin/g, which corresponds to one unpaired spin for 10 W anthracene
molecules.- In all samplea,-Iight-excited fluorescence and the kinetics of-the
photoconductivity drop were studied. The relationships obtained indicate that
both effects are -lue to the same impurity centers. The character of these re-
lationabipe changes in the range of paramagnetic center concentrations from L011-
5 x 1012 spLn/g.
ASSOCU110ti: Institut khimicheskay fitik:E Akademii nauk SSSR (rhatitute of
Chemical Mysics, Academy of Sciences, SSSR)
SUMMID: l5Peb$5 ENCL: 00 SUB CODE: OC., N
140 W ISPON"t, 001
4
Card 2/111
arm: 000

L 113T.-M. EWT(m)/EPF(c)/W(J)/T WW/P?4
ACCESSION N11: AP50216806~, UR/0192/65/006/004/0649/9511
5 41. 6 7
AUTHOR: Gafurov, Kh. M.; Mulikov, V. F. Gachkovskly, V. F. ; Parini, V. P.
AtEjLn~ A1 men P Id. L.__ A. 4EX.
TITLE: 'Effect 6f local %romignetic cei)ters on the optical and photoelectric pro-
perties of anthracene
SOURCE: Zhur-W Moy khimii, v. 6, no. 4, 1965, 649-651
TOPIC TAGS: anthracene, paramagnetism, pyrolysis, optic property, photo-
electric property
ABs,rRACT: Soluble products.of the pyrolysis of anthracene at 450C were sub-
jected to thin layer chromatography on aluminum oxide and the fraction with a
mean molecular weight of approximately 1000 was separated out. The intensity of!
the signal in the temperature interval from - 15C to 25C obeyed Curie's law. The
width of the sypimetrical electron paramagnetic resonance line was about 6
oersteds. The elemental composition of the polymer fraction was: C - 92. 98%;
H=5. 06%. The anthracene was purified by zone melting and was blended with the
polyraer fraction by mixing benzene solutions of both components. After holding
for two days, the solution was chilled and the benzene was eliminated in vacuum.
Card 112

L 1137-M
ACCESSION NR: AP5021680
The aamples were then evacuated for 8 hours at a vacuum of 10- 6 mm Hg. The
electron spectra of the samples, taken in chloroform, were a superposition of
the spectra of anthracene and the fraction with paramagnetic centers. Measure-
ments of the fluorescence spectra and of the time characteristics of the decay of
the photocurrent indicate that both of these quantitieB are extremely sensitive to
i very small amounts of paramagnetic centers. The symbatic change'of the yields
of fluorescence and photocurrent with a change in the concentration of paramag-
netic centers permits the asoumption that these centers affect these character-
istics by the same mechanism. Orig. art. has: 3 figures
ASSOCIATION: Institut khimicheskoy fiziki AN SSSR (Institute of Chemical
Lhyvics AN SSSR)
0 44b
SUBM1TTED::i5Feb65 ENCL:'00 SUB CODE: 000,~QC
NR IREF SOV: 020 OTHER: 001
Cdr

GAFUROV, Kb.M.; MULIKOV, V.F.; GACIIK(-)VSKIY, V.-.; FARMT, V.P.; BFRLINp A.A,,
BLYUMEEFELID) L.A.
Effect of local paramagnetic ctzters on the opticO and photo-
elect-ric properties of anthracene. Zhur. strukt. khim. 6 no. 4t
649-651 Jl-Ag 165 (MIEk 19:1)
1. Inotitut khimichoskoy fiziki AN SSSR. %hn-Itted Feb-uar7 15,
1965.

WC-1 T4,2~~-
GACHOK, V.P.
Principle of weakening correlations in quantum field theory.
Ukx-.mat.zhur. 13 no.2:216-217 161. (MM 14:8)
(Quantum field theory)

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;+ B112/B214
AUTHCRs Gat!hokV..P-
TITLE.: Asymptotic behavior of Green's function in quantum field
theory
PERIODIUM Zhurnal skeperimentallnoy i teoreticheskoy fiziki, V. 40,
no- 3t 1961, 879-884
TEXTs N. N. Bolgolyubov (Ref.3i Preprint OIYaI, 1960) has formulated a
principle for the reduction of the correlation between particles of a
system in statistical equilibrium. The present paper gives a generaliza-
tion and proof of this principle for the quantum field theory. The author
starts from a neutral scalar field represented by a Hermitian operator
A(X) satisfying causality, translation invarianes, and Lorentz invariance.
It is assumed that there exists a unique, normalized vacuum state 10> but
no state with a negative energy. A system 9 consisting of n+1 points x i
is considered which is decomposed into two systems M 1 and 92 with the
points x1p..soxi and xi+l""'xn+l' If each of these partial systems is
Card 1/3

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Asymptotic behavior of ... B1121N14
placed in a sphere of finite radius and if these spheres are so moved
against each other that the point configurations change only inside the
corresponding Sphere, a principle analogous to that of Bogolyubov for the
reduction of the correlation holdst The vacuum mean value
f(x 1"**Ixn+l ) - of vacuum mean
values if M I and M2 are at an infinite distance from each other. For the
proof, f(x 1'***'xn+l ) is decomposed into ~01A(xj) ... A(xi)10> and f,, and it is shown that lim R mf 0 for an arbitrary,
R-co
positive integral m if R is the distance between the two spheres. The
proof consists in studying some singular functions introduced by G.K-allen
and N. Wilhelmason (Ref.6t Dan. Mat. Phys. Medd., 1, 9, 1959). Finally,
Green's function for an infinite distance between The spheres is studied
and it is found that - ZO(X I-x2) ...
... e(xn-x ) - (OIT(x1* ... oxi)/O)