Orthogonal Polynomials and Generalized Oscillator Algebras

Simple item page
dc.creatorBorzov, V. V.
dc.date2000-02-26
dc.date.accessioned2026-07-07T04:34:05Z
dc.date.available2026-07-07T04:34:05Z
dc.descriptionFor any orthogonal polynomials system on real line we construct an appropriate oscillator algebra such that the polynomials make up the eigenfunctions system of the oscillator hamiltonian. The general scheme is divided into two types: a symmetric scheme and a non-symmetric scheme. The general approach is illustrated by the examples of the classical orthogonal polynomials: Hermite, Jacobi and Laguerre polynomials. For these polynomials we obtain the explicit form of the hamiltonians, the energy levels and the explicit form of the impulse operators.
dc.description23 pages, no figures, submitted to Integral Transforms and Special Functions
dc.identifierhttps://arxiv.org/abs/math/0002226
dc.identifierhttp://arxiv.org/abs/math/0002226
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58770
dc.subjectClassical Analysis and ODEs
dc.subjectQuantum Algebra
dc.subject33C45, 33C80, 33D45, 33D80
dc.titleOrthogonal Polynomials and Generalized Oscillator Algebras
dc.typetext

Files

Collections

arXiv