Quantum Super-Integrable Systems as Exactly Solvable Models

Simple item page
dc.creatorFordy, Allan P.
dc.date2007-02-14
dc.date.accessioned2026-07-07T09:34:27Z
dc.date.available2026-07-07T09:34:27Z
dc.descriptionWe consider some examples of quantum super-integrable systems and the associated nonlinear extensions of Lie algebras. The intimate relationship between super-integrability and exact solvability is illustrated. Eigenfunctions are constructed through the action of the commuting operators. Finite dimensional representations of the quadratic algebras are thus constructed in a way analogous to that of the highest weight representations of Lie algebras.
dc.descriptionThis is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math-ph/0702048
dc.identifierhttp://arxiv.org/abs/math-ph/0702048
dc.identifierSIGMA 3 (2007), 025, 10 pages
dc.identifierdoi:10.3842/SIGMA.2007.025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159499
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleQuantum Super-Integrable Systems as Exactly Solvable Models
dc.typetext

Files

Collections

arXiv