The fractionary Schrödinger equation, Green functions and ultradistributions

de Paoli, Ángel Luis; Rocca, Mario Carlos

info:eu-repo/semantics/article

Fecha

2013-01

Registro en:

de Paoli, Ángel Luis; Rocca, Mario Carlos; The fractionary Schrödinger equation, Green functions and ultradistributions; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 392; 1; 1-2013; 111-122

0378-4371

http://hdl.handle.net/11336/82378

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4332531

Autor

de Paoli, Ángel Luis

Rocca, Mario Carlos

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

In this work, we generalize previous results about the Fractionary Schrödinger Equation within the formalism of the theory of Tempered Ultradistributions. Several examples of the use of this theory are given. In particular we evaluate the Green function for a free particle in the general case, for an arbitrary order of the derivative index.

Materias

FRACTIONAL CALCULUS

FRACTIONAL SCHRÖDINGER EQUATION

ULTRADISTRIBUTIONS

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