Exact analysis of an interacting bose gas. I. the general solution and the ground state

Elliott Lieb, Werner Liniger

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2010 Scopus citations

Abstract

A gas of one-dimensional Bose particles interacting via a repulsive delta-function potential has been solved exactly. All the eigenfunctions can be found explicitly and the energies are given by the solutions of a transcendental equation. The problem has one nontrivial coupling constant,. When is small, Bogoliubov's perturbation theory is seen to be valid. In this paper, we explicitly calculate the ground-state energy as a function of and show that it is analytic for all, except =0. In Part II, we discuss the excitation spectrum and show that it is most convenient to regard it as a double spectrum not one as is ordinarily supposed.

Original languageEnglish (US)
Pages (from-to)1605-1616
Number of pages12
JournalPhysical Review
Volume130
Issue number4
DOIs
StatePublished - Dec 1 1963

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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