Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10481143 | Physica A: Statistical Mechanics and its Applications | 2013 | 7 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
I.V. Toranzo, A.R. Plastino, J.S. Dehesa, A. Plastino,