Properties of some nonlinear Schrodinger equations motivated through information theory
| dc.creator | Liew, Ding-Yuan | |
| dc.creator | Parwani, Rajesh R. | |
| dc.date | 2009-02-18 | |
| dc.date.accessioned | 2026-07-07T12:43:28Z | |
| dc.date.available | 2026-07-07T12:43:28Z | |
| dc.description | 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. | |
| dc.description | 5 pages. Presented at the DICE 2008 workshop in Italy | |
| dc.identifier | https://arxiv.org/abs/0902.3044 | |
| dc.identifier | http://arxiv.org/abs/0902.3044 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220430 | |
| dc.subject | Quantum Physics | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Properties of some nonlinear Schrodinger equations motivated through information theory | |
| dc.type | text |