Please use this identifier to cite or link to this item: https://doi.org/10.1088/1742-6596/174/1/012043
Title: Properties of some nonlinear Schrödinger equations motivated through information theory
Authors: Yuan, L.D.
Parwani, R.R. 
Issue Date: 2009
Citation: Yuan, L.D., Parwani, R.R. (2009). Properties of some nonlinear Schrödinger equations motivated through information theory. Journal of Physics: Conference Series 174 (1) : -. ScholarBank@NUS Repository. https://doi.org/10.1088/1742-6596/174/1/012043
Abstract: We update our understanding of nonlinear Schrödinger equations motivated through information theory. In particular we show that a q-deformation of the basic nonlinear equation leads to a perturbative increase in the energy of a system, thus favouring the simplest q - 1 case. Furthermore the energy minimisation criterion is shown to be equivalent, at leading order, to an uncertainty maximisation argument. The special value t] - 1/4 for the interpolation parameter, where leading order energy shifts vanish, implies the preservation of existing supersymmetry in nonlinearised supersymmetric quantum mechanics. Physically, t] might be encoding relativistic effects. © 2009 IOP Publishing Ltd.
Source Title: Journal of Physics: Conference Series
URI: http://scholarbank.nus.edu.sg/handle/10635/98845
ISSN: 17426588
DOI: 10.1088/1742-6596/174/1/012043
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