Intertwining Symmetry Algebras of Quantum Superintegrable Systems

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dc.creatorCalzada, Juan A.
dc.creatorNegro, Javier
dc.creatordel Olmo, Mariano A.
dc.date2009-04-01
dc.date.accessioned2026-07-07T12:59:05Z
dc.date.available2026-07-07T12:59:05Z
dc.descriptionWe present an algebraic study of a kind of quantum systems belonging to a family of superintegrable Hamiltonian systems in terms of shape-invariant intertwinig operators, that span pairs of Lie algebras like $(su(n),so(2n))$ or $(su(p,q),so(2p,2q))$. The eigenstates of the associated Hamiltonian hierarchies belong to unitary representations of these algebras. It is shown that these intertwining operators, related with separable coordinates for the system, are very useful to determine eigenvalues and eigenfunctions of the Hamiltonians in the hierarchy. An study of the corresponding superintegrable classical systems is also included for the sake of completness.
dc.identifierhttps://arxiv.org/abs/0904.0170
dc.identifierhttp://arxiv.org/abs/0904.0170
dc.identifierSIGMA 5 (2009), 039, 23 pages
dc.identifierdoi:10.3842/SIGMA.2009.039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225461
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subjectQuantum Physics
dc.titleIntertwining Symmetry Algebras of Quantum Superintegrable Systems
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