Phys. Rev. E 63, 036106 (2001) [14 pages]

Partition function for a one-dimensional δ-function Bose gas

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Go Kato^* and Miki Wadati^†
Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan

Received 26 May 2000; published 21 February 2001

The N-particle partition function of a one-dimensional δ-function Bose gas is calculated explicitly using only the periodic boundary condition (the Bethe ansatz equation). The N-particles cluster integrals are shown to be the same as those by the thermal Bethe ansatz method.

URL:

http://link.aps.org/doi/10.1103/PhysRevE.63.036106

DOI:

10.1103/PhysRevE.63.036106

PACS:

05.70.Ce

^*Electronic address: go-karto@monet.phys.s.u-tokyo.ac.jp

^†Electronic address: wadati@monet.phys.s.u-tokyo.ac.jp

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Phys. Rev. E 63, 036106 (2001) [14 pages]

Partition function for a one-dimensional δ-function Bose gas