From the hypergeometric differential equation to a non-linear Schrödinger one
We show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation can be transformed into a non-linear Schrödinger equation (NLSE). This NLSE exhibits both similarities and differences...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/64857 |
| Acceso en línea: | http://hdl.handle.net/11336/64857 |
| Access Level: | acceso abierto |
| Palabra clave: | Hypergeometric Function Non-Linear SchrÖDinger Equations Separation of Variables https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Sumario: | We show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation can be transformed into a non-linear Schrödinger equation (NLSE). This NLSE exhibits both similarities and differences vis-a-vis the Nobre-Rego-Monteiro-Tsallis one. |
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