Graphical representation of the partition function of a one-dimensional δ-function Bose gas

被引：12

作者：

Kato, G ^{[1
]}

Wadati, M ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Sci, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2001年 / 42卷 / 10期

关键词：

D O I：

10.1063/1.1396836

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The one-dimensional repulsive delta -function bose system is studied. By only using the Bethe ansatz equation, n-particle partition functions are exactly calculated. From this expression for the n-particle partition function, the n-particle cluster integral is derived. The results completely agree with those of the thermal Bethe ansatz (TBA). This directly proves the validity of the TBA. The theory of partitions and graphs is used to simplify the discussion. (C) 2001 American Institute of Physics.

引用

页码：4883 / 4893

页数：11

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