Kalnins, E.G., Miller, W., Jr., Hakobyan, Y.M. & Pogosyan, G.S. (1999). Superintegrability on the two-dimensional hyperboloid. II. Journal of Mathematical Physics, 40, 2291.
Permanent Research Commons link: http://hdl.handle.net/10289/1197
This work is devoted to the investigation of the quantum mechanical systems on the two-dimensional hyperboloid which admits separation of variables in at least two coordinate systems. Here we consider two potentials introduced in a paper of C. P. Boyer, E. G. Kalnins, and P. Winternitz [J. Math. Phys. 24, 2022 (1983)], which have not yet been studied. We give an example of an interbasis expansion and work out the structure of the quadratic algebra generated by the integrals of motion.
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