On AskeyWilson algebra
Abstract
The ladder representations of AskeyWilson algebra (AWA) is investigated and the overlap problem is discussed. The full class of exactly solvable potentials for onedimensional ordinary Schrödinger equation with the AWA as an algebra of dynamical symmetry is found for creationannihilation operators of third order. The generating spectrum algebra for latticeSchrödinger equation as AWA is examined. All exactly solvable potentials with this dynamical symmetry are found. Some generalizations of obtained results are discussed.
 Publication:

Czechoslovak Journal of Physics
 Pub Date:
 December 1997
 DOI:
 10.1023/A:1022821531517
 Bibcode:
 1997CzJPh..47.1213L