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.
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页码：821 / 833
页数：13
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