Graphical representation of the partition function for a 1-D delta-function Bose gas

Details Graphical representation of the partition function for a 1-D delta-function Bose gas Graphical representation of the partition function for a 1-D delta-function Bose gas

2002-12-13

arxiv.org/abs/cond-mat/0212323v1

J. Math. Phys. 42 4883 (2001)

Physics

Condensed Matter

Statistical Mechanics

15 pages

Scientific paper

10.1063/1.1396836

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.

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