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

Authors
Kato, G Wadati, M
Citation
G. Kato et M. Wadati, Graphical representation of the partition function of a one-dimensional delta-function Bose gas, J MATH PHYS, 42(10), 2001, pp. 4883-4893
Citations number
16
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
42
Issue
10
Year of publication
2001
Pages
4883 - 4893
Database
ISI
SICI code
0022-2488(200110)42:10<4883:GROTPF>2.0.ZU;2-0
Abstract
The one-dimensional repulsive delta -function bose system is studied. By on ly using the Bethe ansatz equation, n-particle partition functions are exac tly calculated. From this expression for the n-particle partition function, the n-particle cluster integral is derived. The results completely agree w ith those of the thermal Bethe ansatz (TBA). This directly proves the valid ity of the TBA. The theory of partitions and graphs is used to simplify the discussion. (C) 2001 American Institute of Physics.