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 language | English (US) |
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Pages (from-to) | 1605-1616 |
Number of pages | 12 |
Journal | Physical Review |
Volume | 130 |
Issue number | 4 |
DOIs | |
State | Published - 1963 |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy