Artículo
Quasi-stationary states of the NRT nonlinear Schroedinger equation
Fecha de publicación:
05/2013
Editorial:
Elsevier Science
Revista:
Physica A: Statistical Mechanics and its Applications
ISSN:
0378-4371
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
With regards to the nonlinear Schrödinger equation recently advanced by Nobre, Rego-Monteiro, and Tsallis (NRT), based on Tsallis q-thermo-statistical formalism, we investigate the existence and properties of its quasi-stationary solutions, which have the time and space dependences separated in a q-deformed fashion. One recovers the normal factorization into purely spatial and purely temporal factors, corresponding to the standard, linear Schrödinger equation, when the deformation vanishes (q = 1). We discuss various specific examples of exact, quasi-stationary solutions of the NRT equation. In particular, we obtain a quasi-stationary solution for the Moshinsky model, providing the first example of an exact solution of the NRT equation for a system of interacting particles.
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Articulos(CCT - LA PLATA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - LA PLATA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - LA PLATA
Citación
Toranzo, I. V.; Plastino, Ángel Ricardo; Dehesa, J.S.; Plastino, Ángel Luis; Quasi-stationary states of the NRT nonlinear Schroedinger equation; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 392; 5-2013; 3945-3951
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