Please use this identifier to cite or link to this item: https://doi.org/10.1007/s11232-007-0085-1
Title: Some thoughts on a nonlinear Schrödinger equation motivated by information theory
Authors: Parwani, R.R. 
Keywords: Degeneration
Information theory
Nonlinear Schrödinger equation
Issue Date: Jul-2007
Source: Parwani, R.R. (2007-07). Some thoughts on a nonlinear Schrödinger equation motivated by information theory. Theoretical and Mathematical Physics 152 (1) : 1012-1016. ScholarBank@NUS Repository. https://doi.org/10.1007/s11232-007-0085-1
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. © 2007 Springer Science+Business Media, Inc.
Source Title: Theoretical and Mathematical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/98885
ISSN: 00405779
DOI: 10.1007/s11232-007-0085-1
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