Distributed Gaussian polynomials as q-oscillator eigenfunctions

Simple item page
dc.creatorKarabulut, Hasan
dc.date2007-04-24
dc.date.accessioned2026-07-07T07:57:59Z
dc.date.available2026-07-07T07:57:59Z
dc.descriptionKarabulut and Sibert (\textit{J. Math. Phys}. \textbf{38} (9), 4815 (1997)) have constructed an orthogonal set of functions from linear combinations of equally spaced Gaussians. In this paper we show that they are actually eigenfunctions of a q-oscillator in coordinate representation. We also reinterpret the coordinate representation example of q-oscillator given by Macfarlane as the functions orthogonal with respect to an unusual inner product definition. It is shown that the eigenfunctions in both q-oscillator examples are infinitely degenerate.
dc.identifierhttps://arxiv.org/abs/0704.3196
dc.identifierhttp://arxiv.org/abs/0704.3196
dc.identifierJournal of Mathematical Physics 47, 013508 (2006)
dc.identifierdoi:10.1063/1.2161022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127850
dc.subjectMathematical Physics
dc.titleDistributed Gaussian polynomials as q-oscillator eigenfunctions
dc.typetext

Files

Collections

arXiv