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

N. Oelkers; M. T. Batchelor; M. Bortz; X. W. Guan

doi:10.1088/0305-4470/39/5/005

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

N. Oelkers^*, M. T. Batchelor, M. Bortz, X. W. Guan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

72 Citations (Scopus)

Abstract

We extend the exact periodic Bethe ansatz solution for one-dimensional bosons and fermions with δ-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.

Original language	English
Pages (from-to)	1073-1098
Number of pages	26
Journal	Journal of Physics A: Mathematical and General
Volume	39
Issue number	5
DOIs	https://doi.org/10.1088/0305-4470/39/5/005
Publication status	Published - 3 Feb 2006

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title = "Bethe ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions",

abstract = "We extend the exact periodic Bethe ansatz solution for one-dimensional bosons and fermions with δ-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.",

author = "N. Oelkers and Batchelor, {M. T.} and M. Bortz and Guan, {X. W.}",

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AU - Oelkers, N.

AU - Batchelor, M. T.

AU - Bortz, M.

AU - Guan, X. W.

PY - 2006/2/3

Y1 - 2006/2/3

N2 - We extend the exact periodic Bethe ansatz solution for one-dimensional bosons and fermions with δ-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.

AB - We extend the exact periodic Bethe ansatz solution for one-dimensional bosons and fermions with δ-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.

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U2 - 10.1088/0305-4470/39/5/005

DO - 10.1088/0305-4470/39/5/005

M3 - Article

SN - 0305-4470

VL - 39

SP - 1073

EP - 1098

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 5

ER -

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

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