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Explicit calculation of the partition function of a one-dimensional $$\delta$$-function Bose gas. (English) Zbl 1076.82510
Summary: We present a method to calculate explicitly the partition function of a one-dimensional $$\delta$$-function bose gas. The cluster integrals are obtained for up to the four particles and are shown to be the same as those by the thermal Bethe ansatz method (TBA).

##### MSC:
 82B21 Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics 82B05 Classical equilibrium statistical mechanics (general)
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##### References:
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