Some thoughts on an information-theoretic motivated nonlinear Schrodinger equation

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dc.creatorParwani, Rajesh R.
dc.date2006-12-08
dc.date.accessioned2026-07-07T07:35:08Z
dc.date.available2026-07-07T07:35:08Z
dc.descriptionI begin by reviewing the arguments leading to a nonlinear generalisation of Schrodinger's equation within the context of the maximum uncertainty principle. Some exact and perturbative properties of that equation are then summarised: those results depend on a free regulating/interpolation parameter $η$. I discuss here how one may fix that parameter using energetics. Other issues discussed are, a linear theory with an external potential that reproduces some unusual exact solutions of the nonlinear equation, and possible symmetry enhancements in the nonlinear theory.
dc.description8 pages. Presented at the Nonlinearity IV workshop held at Gallipoli, Italy, June 2006. To appear in proceedings
dc.identifierhttps://arxiv.org/abs/quant-ph/0612059
dc.identifierhttp://arxiv.org/abs/quant-ph/0612059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120000
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectPattern Formation and Solitons
dc.titleSome thoughts on an information-theoretic motivated nonlinear Schrodinger equation
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