dorsal/arxiv
View SchemaQuasi exactly solvable operators and Lie superalgebras
| Authors | Yves Brihaye, Betti Hartmann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211018 |
| URL | https://arxiv.org/abs/quant-ph/0211018 |
| DOI | 10.1016/S0375-9601(02)01636-5 |
| Journal | Phys.Lett. A306 (2002) 291-295 |
Abstract
Linear operators preserving the direct sum of polynomial rings P(m)\oplus P(n) are constructed. In the case |m-n|=1 they correspond to atypical representations of the superalgebra osp(2,2). For |m-n|=2 the generic, finite dimensional representations of the superalgebra q(2) are recovered. An example of a Hamiltonian possessing such a hidden algebra is analyzed.
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"abstract": "Linear operators preserving the direct sum of polynomial rings P(m)\\oplus\nP(n) are constructed. In the case |m-n|=1 they correspond to atypical\nrepresentations of the superalgebra osp(2,2). For |m-n|=2 the generic, finite\ndimensional representations of the superalgebra q(2) are recovered. An example\nof a Hamiltonian possessing such a hidden algebra is analyzed.",
"arxiv_id": "quant-ph/0211018",
"authors": [
"Yves Brihaye",
"Betti Hartmann"
],
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"quant-ph",
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"doi": "10.1016/S0375-9601(02)01636-5",
"journal_ref": "Phys.Lett. A306 (2002) 291-295",
"title": "Quasi exactly solvable operators and Lie superalgebras",
"url": "https://arxiv.org/abs/quant-ph/0211018"
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