A FAMILY OF NONLINEAR SCHR\"ODINGER EQUATIONS: LINEARIZING TRANSFORMATIONS AND RESULTING STRUCTURE
Quantum Physics
2016-09-08 v1 High Energy Physics - Theory
Abstract
We examine a recently-proposed family of nonlinear Schr\"odinger equations [J. Phys. A: Math. Gen. 27:1771(1994)] with respect to a group of transformations that linearize a subfamily of them. We investigate the structure of the whole family with respect to the linearizing transformations, and propose a new, invariant parameterization.
Cite
@article{arxiv.quant-ph/9502014,
title = {A FAMILY OF NONLINEAR SCHR\"ODINGER EQUATIONS: LINEARIZING TRANSFORMATIONS AND RESULTING STRUCTURE},
author = {H. -D. Doebner and G. A. Goldin and P. Nattermann},
journal= {arXiv preprint arXiv:quant-ph/9502014},
year = {2016}
}
Comments
5 pages, LaTeX, Contribution to the proceedings of the XIII Workshop on Mathematical Methods in Physics, Bialowieza, July 9--15, 1994.