The large nonlinearity scale limit of an information-theoretically motivated nonlinear Schrodinger equation
arXiv:0801.0183 · doi:10.1088/1742-6596/128/1/012035
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.
Presented at the Quantum Theory and Symmetries-5 conference held at Valladolid, Spain; July 2007. 11pages, inclusive of 3 figures