Kirkwood-Salsburg equation for a quantum lattice system of oscillators with many-particle interaction potentials

被引：1

作者：

Skrypnyk, W. I. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2009年 / 61卷 / 05期

关键词：

Canonical Ensemble; Ternary Interaction; Fubini Theorem; Wiener Measure; Reduce Density Matrice;

D O I：

10.1007/s11253-009-0239-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a Gibbs system of one-dimensional quantum oscillators on a d-dimensional hypercubic lattice interacting via superstable pair and many-particle potentials of finite range, we prove the existence of a solution of the (lattice) Kirkwood-Salsburg equation for correlation functions depending on the Wiener paths. Some many-particle potentials may be nonpositive.

引用

页码：821 / 833

页数：13

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