The large nonlinearity scale limit of an information-theoretically motivated nonlinear Schrodinger equation
Quantum Physics
2009-11-13 v1 High Energy Physics - Theory
Pattern Formation and Solitons
Abstract
A nonlinear Schrodinger equation, that had been obtained within the context of the maximum uncertainty principle, has the form of a difference-differential equation and exhibits some interesting properties. Here we discuss that equation in the regime where the nonlinearity length scale is large compared to the deBroglie wavelength; just as in the perturbative regime, the equation again displays some universality. We also briefly discuss stationary solutions to a naturally induced discretisation of that equation.
Keywords
Cite
@article{arxiv.0801.0183,
title = {The large nonlinearity scale limit of an information-theoretically motivated nonlinear Schrodinger equation},
author = {Le-Huy Nguyen and Hai-Siong Tan and Rajesh R. Parwani},
journal= {arXiv preprint arXiv:0801.0183},
year = {2009}
}
Comments
Presented at the Quantum Theory and Symmetries-5 conference held at Valladolid, Spain; July 2007. 11pages, inclusive of 3 figures