arXiv:cond-mat/0212323 · Journal of Mathematical Physics

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

Go Kato, Miki Wadati

Published Oct 1, 2001• 16 citations

Abstract

The one-dimensional repulsive δ-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.

DOI: 10.1063/1.1396836

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