Some thoughts on a nonlinear Schrödinger equation motivated by information theory |
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Authors: | R R Parwani |
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Institution: | (1) Department of Physics and University Scholars Programme, National University of Singapore, Kent Ridge, Singapore |
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Abstract: | The arguments leading to a nonlinear generalization of the Schrödinger equation in the context of the maximum uncertainty principle are reviewed. The exact and perturbative properties of that equation depend on a free regulating/interpolating parameter η, which can be fixed using energetics as is shown here. A linear theory with an external potential that reproduces some unusual exact solutions of the nonlinear equation is also discussed, together with possible symmetry enhancements in the nonlinear theory. |
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Keywords: | nonlinear Schr?dinger equation information theory degeneration |
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