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|Title:||Some thoughts on a nonlinear Schrödinger equation motivated by information theory|
Nonlinear Schrödinger equation
|Citation:||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|
|Appears in Collections:||Staff Publications|
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