Intertwining Symmetry Algebras of Quantum Superintegrable Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Intertwining Symmetry Algebras of Quantum Superintegrable Systems
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| Creator |
Calzada, J.A.
Negro, J. del Olmo, M.A. |
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| Description |
We 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.
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| Date |
2019-02-19T17:54:19Z
2019-02-19T17:54:19Z 2009 |
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| Type |
Article
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| Identifier |
Intertwining Symmetry Algebras of Quantum Superintegrable Systems / J.A. Calzada, J. Negro, M.A. del Olmo // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 29 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 17B80; 81R12; 81R15 http://dspace.nbuv.gov.ua/handle/123456789/149167 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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