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26 April 2024
 
  » arxiv » quant-ph/0211018

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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
AffiliationUniversity of Mons, Belgium) and Betti Hartmann (University of Durham, United Kingdom
AbstractLinear 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
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