Bound and resonance states of the nonlinear Schroedinger equation in simple model systems
Quantum Physics
2009-11-10 v1
Abstract
The stationary nonlinear Schroedinger equation, or Gross-Pitaevskii equation, is studied for the cases of a single delta potential and a delta-shell potential. These model systems allow analytical solutions, and thus provide useful insight into the features of stationary bound, scattering and resonance states of the nonlinear Schroedinger equation. For the single delta potential, the influence of the potential strength and the nonlinearity is studied as well as the transition from bound to scattering states. Furthermore, the properties of resonance states for a repulsive delta-shell potential are discussed.
Keywords
Cite
@article{arxiv.quant-ph/0409199,
title = {Bound and resonance states of the nonlinear Schroedinger equation in simple model systems},
author = {D. Witthaut and S. Mossmann and H. J. Korsch},
journal= {arXiv preprint arXiv:quant-ph/0409199},
year = {2009}
}
Comments
19 pages, 10 figures