From the hypergeometric differential equation to a non-linear Schrödinger one

Plastino, Ángel Luis; Rocca, Mario Carlos

Articulo

Registro en:

http://sedici.unlp.edu.ar/handle/10915/131841

issn:0375-9601

https://repositorioslatinoamericanos.uchile.cl/handle/2250/7469030

Autor

Plastino, Ángel Luis

Rocca, Mario Carlos

Institución

Universidad Nacional de La Plata (Argentina)

Resumen

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 Schrodinger equation (NLSE). This NLSE exhibits both similarities and differences vis-a-vis the Nobre–Rego-Monteiro–Tsallis one.

Instituto de Física La Plata

Materias

Física

Non-linear Schrödinger equations

Separation of variables

Hypergeometric function

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