On polymer expansions for equilibrium systems of oscillators with ternary interaction

被引：0
|
作者：
Skrypnyk V.I. [1 ]
机构：
[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev
来源：
Ukrainian Mathematical Journal | 2001年 / 53卷 / 11期
关键词：
Polymer; Potential Energy; Correlation Function; Quantum System; Density Matrice;
D O I：
10.1023/A:1015207014469
中图分类号：
学科分类号：
摘要：
For Gibbs lattice systems characterized by a measurable space at sites of a d-dimensional hypercubic lattice and potential energy with pair complex potential, we formulate conditions that guarantee the convergence of polymer (cluster) expansions. We establish that the Gibbs correlation functions and reduced density matrices of classical and quantum systems of linear oscillators with ternary interaction can be expressed in terms of correlation functions of these systems. © 2001 Plenum Publishing Corporation.
引用
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页码：1865 / 1881
页数：16
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