On the Staruszkiewicz Modification of the Schroedinger Equation

dc.creatorPuszkarz, Waldemar
dc.date1999-12-02
dc.date.accessioned2026-07-07T06:17:16Z
dc.date.available2026-07-07T06:17:16Z
dc.descriptionWe discuss Staruszkiewicz's nonlinear modification of the Schrödinger equation. It is pointed out that the expression for the energy functional for this modification is not unique as the field-theoretical definition of energy does not coincide with the quantum-mechanical one. As a result, this modification can be formulated in three different ways depending on which physically relevant properties one aims to preserve. Some nonstationary one-dimensional solutions for suitably chosen potentials, including a KdV soliton, are presented, and the question of finding stationary solutions is also discussed. The analysis of physical and mathematical features of the modification leads to the conclusion that the Staruszkiewicz modification is a very subtle modification of the fundamental equation of quantum mechanics.
dc.descriptionLatex, 16 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/9912006
dc.identifierhttp://arxiv.org/abs/quant-ph/9912006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94341
dc.subjectQuantum Physics
dc.titleOn the Staruszkiewicz Modification of the Schroedinger Equation
dc.typetext

Files

Collections