Exact solvability of superintegrable Benenti systems

Details Exact solvability of superintegrable Benenti systems Exact solvability of superintegrable Benenti systems

2007-01-08

arxiv.org/abs/nlin/0701015v2

J. Math. Phys. 48 (2007), 052114 (11 pages)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages, LaTeX 2e, no figures; in the updated version a number of typos were fixed and other minor changes were made

Scientific paper

10.1063/1.2738829

We establish quantum and classical exact solvability for two large classes of
maximally superintegrable Benenti systems in $n$ dimensions with arbitrarily
large $n$. Namely, we solve the Hamilton--Jacobi and Schr\"odinger equations
for the systems in question. The results obtained are illustrated for a model
with the cubic potential.

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