Exact solutions of the inhomogeneous nonlinear Schrödinger equation through supersymmetric potentials
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911282637045760 |
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| author | C., David J. Fernández Pavón-Torres, O. |
| author_facet | C., David J. Fernández Pavón-Torres, O. |
| contents | By employing supersymmetric quantum mechanics, we present a general algorithm to construct supersymmetric partner potentials and hence derive exact stationary solutions of the inhomogeneous nonlinear Schrödinger equation (INLSE). This is possible due to the connection between the INLSE and the nonlinear Schrödinger equation (NLSE), which can be established from a treatment based on Lie point symmetries and is related with Schrödinger equation, under certain conditions. As an illustrative example, we construct exact solutions for the INLSE through a Pösch-Teller potential with a single bound state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18186 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact solutions of the inhomogeneous nonlinear Schrödinger equation through supersymmetric potentials C., David J. Fernández Pavón-Torres, O. Quantum Physics By employing supersymmetric quantum mechanics, we present a general algorithm to construct supersymmetric partner potentials and hence derive exact stationary solutions of the inhomogeneous nonlinear Schrödinger equation (INLSE). This is possible due to the connection between the INLSE and the nonlinear Schrödinger equation (NLSE), which can be established from a treatment based on Lie point symmetries and is related with Schrödinger equation, under certain conditions. As an illustrative example, we construct exact solutions for the INLSE through a Pösch-Teller potential with a single bound state. |
| title | Exact solutions of the inhomogeneous nonlinear Schrödinger equation through supersymmetric potentials |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.18186 |