From the hypergeometric differential equation to a non linear Schr\"odinger one
Quantum Physics
2015-11-18 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation is a non-linear Schr\"odinger equation (NLSE). This NLSE exhibits both similarities and differences vis-a-vis the Nobre-Rego Monteiro-Tsallis one.
Cite
@article{arxiv.1505.01334,
title = {From the hypergeometric differential equation to a non linear Schr\"odinger one},
author = {A. Plastino and M. C. Rocca},
journal= {arXiv preprint arXiv:1505.01334},
year = {2015}
}
Comments
11 pages, no figures. Text has changed. References added