Bound and resonance states of the nonlinear Schroedinger equation in simple model systems
Preprint
- 28 September 2004
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
All Related Versions
- Version 1, 2004-09-28, ArXiv
- Published version: Journal of Physics A: General Physics, 38 (8), 1777.
This publication has 0 references indexed in Scilit: