Bound and resonance states of the nonlinear Schrodinger equation in simple model systems

被引:51
作者
Witthaut, D [1 ]
Mossmann, S [1 ]
Korsch, HJ [1 ]
机构
[1] Tech Univ Kaiserslauten, FB Phys, D-67653 Kaiserslautern, Germany
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2005年 / 38卷 / 08期
关键词
D O I
10.1088/0305-4470/38/8/013
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the stationary nonlinear Schrodinger equation, or Gross-Pitaevskii equation, for 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 Schrodinger 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 in a repulsive delta-shell potential are discussed.
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页码:1777 / 1792
页数:16
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