Mapping Between Nonlinear Schödinger Equations with Real and Complex Potentials
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2013
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908931971874816 |
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| author | Salerno, Mario |
| author_facet | Salerno, Mario |
| contents | A mapping between stationary solutions of nonlinear Schödinger equations with real and complex potentials is constructed and a set of exact solutions with real energies are obtained for a large class of complex potentials. As specific examples we consider the case of the damped dynamics of a quantum harmonic oscillator and the case of dissipative periodic soliton solutions of the nonlinear Schrödinger equation with complex potential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1306_3643 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Mapping Between Nonlinear Schödinger Equations with Real and Complex Potentials Salerno, Mario Pattern Formation and Solitons Quantum Gases A mapping between stationary solutions of nonlinear Schödinger equations with real and complex potentials is constructed and a set of exact solutions with real energies are obtained for a large class of complex potentials. As specific examples we consider the case of the damped dynamics of a quantum harmonic oscillator and the case of dissipative periodic soliton solutions of the nonlinear Schrödinger equation with complex potential. |
| title | Mapping Between Nonlinear Schödinger Equations with Real and Complex Potentials |
| topic | Pattern Formation and Solitons Quantum Gases |
| url | https://arxiv.org/abs/1306.3643 |