Quasi-stationary states of the NRT nonlinear Schrodinger equation

被引：16

作者：

Toranzo, I. V. ^{[1
,2
]}

Plastino, A. R. ^{[1
,2
,3
,4
,5
]}

Dehesa, J. S. ^{[1
,2
]}

Plastino, A. ^{[1
,2
,6
]}

机构：

[1] Univ Granada, Inst Carlos Fis Teor & Computac 1, E-18071 Granada, Spain

[2] Univ Granada, Dept Fis Atom Mol & Nucl, E-18071 Granada, Spain

[3] Univ Nacl Noroeste Buenos Aires UNNOBA, CeBio, Junin, Argentina

[4] Univ Nacl Noroeste Buenos Aires UNNOBA, Secretaria Invest, Junin, Argentina

[5] Consejo Nacl Invest Cient & Tecn, Junin, Argentina

[6] Natl Univ La Plata, IFLP CCT Conicet, CC 727, RA-1900 La Plata, Argentina

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2013年 / 392卷 / 18期

关键词：

Nonlinear Schrodinger equation; Quasi stationary states; Tsallis Thermostatistics; QUANTUM ENTANGLEMENT; DIFFUSION; NONEXTENSIVITY; INFORMATION; ENTROPY; MODEL;

D O I：

10.1016/j.physa.2013.04.034

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

With regards to the nonlinear Schrodinger 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 Schrodinger 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. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：3945 / 3951

页数：7

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