The large nonlinearity scale limit of an information-theoretically motivated nonlinear Schrodinger equation

Details The large nonlinearity scale limit of an information-theoretically motivated nonlinear Schrodinger equation The large nonlinearity scale limit of an information-theoretically motivated nonlinear Schrodinger equation

2007-12-31

arxiv.org/abs/0801.0183v1

Physics

Quantum Physics

Presented at the Quantum Theory and Symmetries-5 conference held at Valladolid, Spain; July 2007. 11pages, inclusive of 3 figu

Scientific paper

10.1088/1742-6596/128/1/012035

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.

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