Tuesday, June 5, 2012

1206.0480 (S. Post et al.)

Families of superintegrable Hamiltonians constructed from exceptional

S. Post, S. Tsujimoto, L. Vinet
We introduce a family of exactly-solvable two-dimensional Hamiltonians whose wave functions are given in terms of Laguerre and exceptional Jacobi polynomials. The Hamiltonians contain purely quantum terms which vanish in the classical limit leaving only a previously known family of superintegrable systems. Additional, higher-order integrals of motion are constructed from ladder operators for the considered orthogonal polynomials proving the quantum system to be superintegrable.
View original: http://arxiv.org/abs/1206.0480

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