ON ANALYTICITY PROPERTIES OF CONFIGURATIONAL INTEGRAL IN STATISTICAL MECHANICS

被引：7

作者：

BOGOLUBOV, NN

机构：

[1] Department of Statistical Mechanics, Steklov Mathematical Institute, Akademija Nauk SSSR, Moskva

来源：

PHYSICA | 1969年 / 41卷 / 04期

关键词：

D O I：

10.1016/0031-8914(69)90098-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The analyticity properties of the configurational integral of the type Tr exp{-(T + zU)} are investigated where T and U are some operators defined in a separable Hilbert space. The complete proof of the theorem, that for sufficiently general conditions the configurational integral is an analytical function of some parameters, is presented. This theorem can be applied to statistical-physics problems; in particular it can be used for a mathematical justification of model problems which permit asymptotically exact solutions. © 1969.

引用

页码：601 / +

页数：1

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