Quasi exactly solvable operators and Lie superalgebras

Details Quasi exactly solvable operators and Lie superalgebras Quasi exactly solvable operators and Lie superalgebras

2002-11-05

arxiv.org/abs/quant-ph/0211018v2

Phys.Lett. A306 (2002) 291-295

Physics

Quantum Physics

8 Revtex pages, 1 PS-figures; Section IV extended, reference added

Scientific paper

10.1016/S0375-9601(02)01636-5

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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