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Quasi-exactly Solvable (QES) Equations with Multiple Algebraisations
Authors:Yves Brihaye  Betti Hartmann
Affiliation:(1) Faculté des Sciences, Université de Mons-Hainaut, B-7000 Mons, Belgium;(2) Department of Mathematical Sciences, University of Durham, Durham, DH1 3LE, U.K
Abstract:
We review three examples of quasi-exactly solvable Hamiltonians which possess multiple algebraisations. This includes the most prominent example, the Lamé equation, as well as recently studied many-body Hamiltonians with Weierstrass interaction potential and, finally, a 2×2 coupled channel Hamiltonian.
Keywords:quantum Hamiltonian  quasi-exactly solvable problems
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