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

Plastino, Ángel Luis; Rocca, Mario Carlos

info:eu-repo/semantics/article

Fecha

2015-10

Registro en:

Plastino, Ángel Luis; Rocca, Mario Carlos; From the hypergeometric differential equation to a non-linear Schrödinger one; Elsevier Science; Physics Letters A; 379; 42; 10-2015; 2690-2693

0375-9601

http://hdl.handle.net/11336/64857

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4362215

Autor

Plastino, Ángel Luis

Rocca, Mario Carlos

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (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 Schrödinger equation (NLSE). This NLSE exhibits both similarities and differences vis-a-vis the Nobre-Rego-Monteiro-Tsallis one.

Materias

Hypergeometric Function

Non-Linear SchrÖDinger Equations

Separation of Variables

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