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Article overview
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Quasi exactly solvable operators and Lie superalgebras | Yves Brihaye
; Betti Hartmann
; | Date: |
5 Nov 2002 | Journal: | Phys.Lett. A306 (2002) 291-295 | Subject: | quant-ph hep-th | Affiliation: | University of Mons, Belgium) and Betti Hartmann (University of Durham, United Kingdom | 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. | Source: | arXiv, quant-ph/0211018 | Services: | Forum | Review | PDF | Favorites |
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