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Quasi exactly solvable (QES) equations with multiple algebraisations

arXiv:quant-ph/0306162 · doi:10.1023/B:CJOP.0000010523.47034.3f

Abstract

We review three examples of quasi exactly solvable (QES) Hamitonians which possess multiple algebraisations. This includes the most prominent example, the Lame equation, as well as recently studied many-body Hamiltonians with Weierstrass interaction potential and finally, a 2x2 coupled channel Hamiltonian.

Talk presented at the 12th Colloquium ``Quantum Groups and Integrable Systems'', Prague, June 12-14, 2003; 7 Latex-pages