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|Title:||Properties of some nonlinear Schrödinger equations motivated through information theory|
|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|
|Appears in Collections:||Staff Publications|
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