2009/02/18 by Liew, Ding-Yuan, Parwani, Rajesh R.
#FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.0902.3044
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 η=1/4 for the interpolation parameter, where leading order energy shifts vanish, implies the preservation of existing supersymmetry in nonlinearised supersymmetric quantum mechanics. Physically, η might be encoding relativistic effects.