Quasi exactly solvable operators and Lie superalgebras
Quantum Physics
2009-11-07 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.quant-ph/0211018,
title = {Quasi exactly solvable operators and Lie superalgebras},
author = {Yves Brihaye and Betti Hartmann},
journal= {arXiv preprint arXiv:quant-ph/0211018},
year = {2009}
}
Comments
8 Revtex pages, 1 PS-figures; Section IV extended, reference added