Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions

Details Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions

2005-11-29

arxiv.org/abs/cond-mat/0511694v2

J. Phys. A 39 (2006) 1073-1098

Physics

Condensed Matter

Statistical Mechanics

27 pages, 6 figures, key reference added, typos corrected

Scientific paper

10.1088/0305-4470/39/5/005

We extend the exact periodic Bethe Ansatz solution for one-dimensional bosons and fermions with delta-interaction and arbitrary internal degrees of freedom to the case of hard wall boundary conditions. We give an analysis of the ground state properties of fermionic systems with two internal degrees of freedom, including expansions of the ground state energy in the weak and strong coupling limits in the repulsive and attractive regimes.

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