NOVEL METHOD FOR CALCULATING THE PATH INTEGRAL FOR THE PARTITION-FUNCTION OF A MANY-FERMION SYSTEM

被引：0

作者：

GOROKHOV, AV ^{[1
]}

BIRMAN, JL ^{[1
]}

机构：

[1] KUIBYSHEV STATE UNIV,DEPT GEN & THEORET PHYS,KUIBYSHEV 443011,USSR

来源：

EUROPHYSICS LETTERS | 1991年 / 15卷 / 06期

关键词：

GENERAL THEORIES AND COMPUTATIONAL TECHNIQUES; GROUP THEORY; FERMION SYSTEMS AND ELECTRON GAS;

D O I：

10.1209/0295-5075/15/6/009

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a Grassmannian version of the Stratonovich-Hubbard transformation and derive a new functional-integral representation for the grand partition function F(beta) of many-fermion N-particle systems. A new separable form for Z(beta) is found using both a disentangling method for <<the evolution operator>> and the dynamical super-Weyl group SW(N). Employing fermionic coherent states the relevant trace is calculated exactly. The case of a separable potential is analyzed in some detail.

引用

页码：615 / 620

页数：6

共 11 条

[1] STATIC PATH APPROXIMATION FOR THE NUCLEAR PARTITION-FUNCTION [J].

ARVE, P ;

BERTSCH, G ;

LAURITZEN, B ;

PUDDU, G .

ANNALS OF PHYSICS, 1988, 183 (02) :309-319

[2] A FUNCTIONAL-APPROACH TO THE MANY-BODY NUCLEAR PROBLEM - THE MEC [J].

CENNI, R ;

SARACCO, P .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS, 1989, 11 (1-2) :303-319

[3]

DAI XX, 1984, PHYS REV B, V2, P5243

[4]

GOROKHOV AV, UNPUB

[5] CALCULATION OF PARTITION FUNCTIONS [J].

HUBBARD, J .

PHYSICAL REVIEW LETTERS, 1959, 3 (02) :77-78

[6] ASYMPTOTIC EXPANSION OF BARDEEN-COOPER-SCHRIEFFER PARTITION FUNCTION BY MEANS OF FUNCTIONAL METHOD [J].

MUHLSCHLEGEL, B .

JOURNAL OF MATHEMATICAL PHYSICS, 1962, 3 (03) :522-&

[7]

Muhlschlegel B., 1978, PATH INTEGRALS THEIR

[8] AN SU(8) MODEL FOR THE UNIFICATION OF SUPERCONDUCTIVITY, CHARGE, AND SPIN-DENSITY WAVES [J].

SOLOMON, AI ;

BIRMAN, JL .

JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (07) :1526-1534

[9]

Stratonovich R. L., 1958, SOV PHYS DOKL, V2, P416, DOI DOI 10.1103/PHYSREVLETT.3.77

[10] FERMIONIC COHERENT STATES IN A FOCK SUPERSPACE [J].

VALLE, JWF .

JOURNAL OF MATHEMATICAL PHYSICS, 1981, 22 (08) :1521-1525

← 1 2 →