Quasi-stationary states of the NRT nonlinear Schrödinger equation

I.V. Toranzo, A.R. Plastino, J.S. Dehesa and A. Plastino

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 18, 3945-3951

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.

Keywords: Nonlinear Schrödinger equation; Quasi stationary states; Tsallis Thermostatistics (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:18:p:3945-3951

DOI: 10.1016/j.physa.2013.04.034

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