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arXiv · 0801.0183

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

Le-Huy Nguyen·Hai-Siong Tan·Rajesh R. Parwani
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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.

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Le-Huy Nguyen, Hai-Siong Tan, Rajesh R. Parwani. 2007-12-31. The large nonlinearity scale limit of an information-theoretically motivated nonlinear Schrodinger equation. https://doi.org/10.1088/1742-6596/128/1/012035

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