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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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