Gauge transformations for a driven quantum particle in an infinite square well

Simple item page
dc.creatorWeigert, Stefan
dc.date1998-11-25
dc.date.accessioned2026-07-07T06:15:51Z
dc.date.available2026-07-07T06:15:51Z
dc.descriptionQuantum mechanics of a particle in an infinite square well under the influence of a time-dependent electric field is reconsidered. In some gauge, the Hamiltonian depends linearly on the momentum operator which is symmetric but not self-adjoint when defined on a finite interval. In spite of this symmetric part, the Hamiltonian operator is shown to be self-adjoint. This follows from a theorem by Kato and Rellich which guarantees the stability of a self-adjoint operator under certain symmetric perturbations. The result, which has been assumed tacitly by other authors, is important in order to establish the equivalence of different Hamiltonian operators related to each other by quantum gauge transformations. Implications for the quantization procedure of a particle in a box are pointed out.
dc.description16 pages, no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/9811070
dc.identifierhttp://arxiv.org/abs/quant-ph/9811070
dc.identifierFound. Phys. 29 (1999) 1785
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93888
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleGauge transformations for a driven quantum particle in an infinite square well
dc.typetext

Files

Collections

arXiv