The fractionary Schrödinger equation, Green functions and ultradistributions

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 a...

Descripción completa

Detalles Bibliográficos
Autores: de Paoli, Ángel Luis, Rocca, Mario Carlos
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/82378
Acceso en línea:http://hdl.handle.net/11336/82378
Access Level:acceso abierto
Palabra clave:FRACTIONAL CALCULUS
FRACTIONAL SCHRÖDINGER EQUATION
ULTRADISTRIBUTIONS
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
Descripción
Sumario: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.