Perturbation theory for nonlinear Schrodinger equations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866913440043368448 |
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| author | Sacchetti, Andrea |
| author_facet | Sacchetti, Andrea |
| contents | Treating the nonlinear term of the Gross-Pitaevskii nonlinear Schrodinger equation as a perturbation of an isolated discrete eigenvalue of the linear problem one obtains a Rayleigh-Schrodinger power series. This power series is proved to be convergent when the parameter representing the intensity of the nonlinear term is less in absolute value than a threshold value, and it gives a stationary solution to the nonlinear Schrodinger equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_09826 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Perturbation theory for nonlinear Schrodinger equations Sacchetti, Andrea Mathematical Physics Quantum Physics 35Q55, 81Q15 Treating the nonlinear term of the Gross-Pitaevskii nonlinear Schrodinger equation as a perturbation of an isolated discrete eigenvalue of the linear problem one obtains a Rayleigh-Schrodinger power series. This power series is proved to be convergent when the parameter representing the intensity of the nonlinear term is less in absolute value than a threshold value, and it gives a stationary solution to the nonlinear Schrodinger equation. |
| title | Perturbation theory for nonlinear Schrodinger equations |
| topic | Mathematical Physics Quantum Physics 35Q55, 81Q15 |
| url | https://arxiv.org/abs/2206.09826 |