Geodesic
Some thoughts on a nonlinear Schrödinger equation motivated by
Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 1, pp. 157-162 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $\eta$, 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.
Keywords: nonlinear Schrödinger equation, information theory, degeneration. 
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R. R. Parwani. Some thoughts on a nonlinear Schrödinger equation motivated by. Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 1, pp. 157-162. http://geodesic.mathdoc.fr/item/TMF_2007_152_1_a11/

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