Higher Order Modification of the Schroedinger Equation
| dc.creator | Puszkarz, Waldemar | |
| dc.date | 1997-10-02 | |
| dc.date | 1999-05-17 | |
| dc.date.accessioned | 2026-07-07T06:14:25Z | |
| dc.date.available | 2026-07-07T06:14:25Z | |
| dc.description | We modify the Schrödinger equation in a way that preserves its main properties but makes use of higher order derivative terms. Although the modification represents an analogy to the Doebner-Goldin modification, it can differ from it quite distinctively. A particular model of this modification including derivatives up to the fourth order is examined in greater detail. We observe that a special variant of this model partially retains the linear superposition principle for the wave packets of standard quantum mechanics remain solutions to it. It is a peculiarity of this variant that a periodic structure emerges naturally from its equations. As a result, a free particle, in addition to a plane wave solution, can possess band solutions. It is argued that this can give rise to well-focused particle trajectories. Owing to this peculiarity, when interpreted outside quantum theory, the equations of this modification could also be used to model pattern formation phenomena. | |
| dc.description | Latex, 11 pages, extended, new references added | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9710007 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9710007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/93457 | |
| dc.subject | Quantum Physics | |
| dc.title | Higher Order Modification of the Schroedinger Equation | |
| dc.type | text |