Geiger, Benjamin and Urbina, Juan-Diego and Hummel, Quirin and Richter, Klaus (2017) Semiclassics in a system without classical limit: The few-body spectrum of two interacting bosons in one dimension. PHYSICAL REVIEW E, 96 (2): 022204. ISSN 2470-0045, 2470-0053
Full text not available from this repository. (Request a copy)Abstract
xWe present a semiclassical study of the spectrum of a few-body system consisting of two short-range interacting bosonic particles in one dimension, a particular case of a general class of integrable many-body systems where the energy spectrum is given by the solution of algebraic transcendental equations. By an exact mapping between delta-potentials and boundary conditions on the few-bodywave functions, we are able to extend previous semiclassical results for single-particle systems with mixed boundary conditions to the two-body problem. The semiclassical approach allows us to derive explicit analytical results for the smooth part of the two-body density of states that are in excellent agreement with numerical calculations. It further enables us to include the effect of bound states in the attractive case. Remarkably, for the particular case of two particles in one dimension, the discrete energy levels obtained through a requantization condition of the smooth density of states are essentially in perfect agreement with the exact ones.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BOSE-GAS; ULTRACOLD GASES; WAVE-EQUATION; FINITE DOMAIN; EIGENFREQUENCIES; PARTICLE; ATOMS; BOX; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:16 |
| Last Modified: | 28 Feb 2019 09:25 |
| URI: | https://pred.uni-regensburg.de/id/eprint/1398 |
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