SCIENTIFIC ABSTRACT KIRZHNITS, D.A. - KIRZON, M.V.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000722730003-7
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 14, 2000
• Sequence Number: 3
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

On Correlation Eff acts in Wo 31ectron Atczls
SOV151-5-5-1123
method of Ref 1 imprcvak with Increase of Z. The results of the
present paper were foual to agrsa with experimental values for
Z-4 6. The diffaren-zaz betwina the experimental and the Hartras
(s elf .-cons Is tan". fial4) ensr4log foi- 2 frcma 2 to 6 are gl7en in qer 6
as -0.0422 to -0-05t. Th-3 preasnt -,alculatien gives -0-04,94 In Ckt=lc
units, -with 0 0 4 w X 5 '_'. Thfj s_~thar thanks V.L. Gintbarg for his
advice. There are .1" 5 of whi.-h are Soviet, 3 AwerIcan.
Z Engliah, 1 German amd 1 trarwiatica.
5U HUI 7."S D zDecember 16, 1957
Card 2/2 1. Electrons 2. Atoms--Energy 2. Atoms--Mathematical analysis
3. Correlation functions

AUTFOR: Xirzhnits, D. A. SOV/56-34-6-32/51
TITLE: n e Behavior of the Distribution Function of a Many-Particle
System Near the Fermi Surface (0 povedenii funktsii raspre-
deleniya sistemy mnogikh chastits vblizi poverkhnosti Fermi)
P7RIODICAL: Zhurnal eksperimentallnoy*i teoreticheskoy fi;.-iki, 1958,
Vol. 34, Nr 6, pp. 1625-1628 (USSR)
ABSTRACT: This paper investigates (in Hartree (Khartri) approximation)
the distribution function in the region of the phase space
in the neighborhood of the Fermi surface. It deals, concrete-
ly spoken, with a system of non-relativistical electrons in
a stationary state at zero temperature. The author confines
himself to the case where the occupation number dependE only
on the energy. It is shown that in the neighborhood of the
Fermi surface (where lp - poj_\Fj p.) the expression
_+ g(p2_p2(-))'

f(4, ) - 2(2n)-' 0 Q(x)- 1/2(1-x/lxl)
r p r
even in the quasiclassical case cannot be used. But it is
possible to find an expression for f which can be applied
Card 1,/2 also in the region 1P - Pol- 1-p0. Tt is advantageous to

SO'1/56-34-6-32/51
On the Behavior of the Distribution Punction of a Yany-?article S~-,etem, Near
the Fermi Surface
start from the operator expression for f in the Hartree (Yhar-
tri) approximation
f (-*, -*) - (2n)-3
r p 2> 1) atom due to the fact that the atom is a bounded and inhomogencous sys-
tem. Assuming that plasmon can exist in an atom locally, I. e. where there. Is a large con-
centration of particles, the quantum field theory is used to study Its charac teristics. It to
shown that no wave function exists which can be assigned to the plasmon. This means that
even if, in the energy sefise, plasmon can be treated as an Independent quasi-particlc, this
cannot be done when its internal structure Is considered. The region of A,-.! in which'the
plasmon levels can exist Is d1latermined and 1.9 shown In Fig. 1 of the Enclosuro. This as-
sumes a uniform electron density function and the notation used Is as follows: y = k/po
P/3/a Is the maximum Fermi momentum, and
(k plasmon wave number, po = 0. 78 6 Z ~, 0
a0 Bohr radius), Y - w/wL (WL = 12. 1Z clectroa volts). For Z = 44, Ycr = 0. 3,
Scr = 1. 66 and for z = 85, ycr = 0. 25, ler = 1. 71, which shows that the w- region Is
relatively narrow. It Is also shown that the spectrum of the col'lective excitation of a realls-
tic atom reduces to a single energy level which corresponds to a single p -state. The
energy of this state to 17 Z ov which, for heavy atoms, to of the order of 1 k-ov. "The
authors are Indebted to Yo.L. Feynberg for his arttique of several problems considered
in this worV- Orig. art. has: 5 figures and 31 formulas.
Card 2/4

ACCESSION NR- AT441499
ASSOCIATION- Fizichealdy inaUtut im.. P. N. Lebadem AkademU Nauk BWR.(Iutituto Of.
Physics, Acadenr of SaiencempSM)
SUBNMED: 00 E Rc 1.- 01
SUB CODE: GP NO REF SOV: 005 OTHEM. 004
3/4

t
ACCESSION NR: AT4041499
C.,d 1 4/4
..........
ENCLOSURE: 01,
Fig. 1. Plasmon energy region: 0 -c y