| dc.creator | Zamora, Darío Javier | |
| dc.creator | Rocca, Mario Carlos | |
| dc.creator | Plastino, Ángel Luis | |
| dc.creator | Ferri, Gustavo L. | |
| dc.date | 2017-01 | |
| dc.date | 2019-07-15T16:35:59Z | |
| dc.identifier | http://sedici.unlp.edu.ar/handle/10915/78141 | |
| dc.identifier | issn:1099-4300 | |
| dc.description | Interesting non-linear generalization of both Schrödinger’s and Klein–Gordon’s equations have been recently advanced by Tsallis, Rego-Monteiro and Tsallis (NRT) in Nobre et al. (Phys. Rev. Lett. 2011, 106, 140601). There is much current activity going on in this area. The non-linearity is governed by a real parameter q. Empiric hints suggest that the ensuing non-linear q-Schrödinger and q-Klein–Gordon equations are a natural manifestations of very high energy phenomena, as verified by LHC-experiments. This happens for q-values close to unity (Plastino et al. (Nucl. Phys. A 2016, 955, 16–26, Nucl. Phys. A 2016, 948, 19–27)). It might thus be difficult for q-values close to unity to ascertain whether one is dealing with solutions to the ordinary Schrödinger equation (whose free particle solutions are exponentials and for which q = 1) or with its NRT non-linear q -generalizations, whose free particle solutions are q-exponentials. In this work, we provide a careful analysis of the q ∼ 1 instance via a perturbative analysis of the NRT equations. | |
| dc.description | Facultad de Ciencias Exactas | |
| dc.format | application/pdf | |
| dc.language | en | |
| dc.rights | http://creativecommons.org/licenses/by/4.0/ | |
| dc.rights | Creative Commons Attribution 4.0 International (CC BY 4.0) | |
| dc.subject | Física | |
| dc.subject | non-linear Schrödinger equation | |
| dc.subject | non-linear Klein–Gordon equation | |
| dc.subject | first order solution | |
| dc.title | Perturbative Treatment of the Non-Linear q-Schrödinger and q-Klein–Gordon Equations | |
| dc.type | Articulo | |
| dc.type | Articulo | |
