Physics – Quantum Physics
Scientific paper
2009-02-18
Physics
Quantum Physics
5 pages. Presented at the DICE 2008 workshop in Italy
Scientific paper
We update our understanding of nonlinear Schrodinger 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 $\eta =1/4$ for the interpolation parameter, where leading order energy shifts vanish, implies the preservation of existing supersymmetry in nonlinearised supersymmetric quantum mechanics. Physically, $\eta$ might be encoding relativistic effects.
Liew Ding-Yuan
Parwani Rajesh R.
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