Superintegrability on the two-dimensional hyperboloid. II

E. G. Kalnins; W. Miller; Ye M. Hakobyan; G. S. Pogosyan

doi:10.1063/1.532864

Superintegrability on the two-dimensional hyperboloid. II

E. G. Kalnins, W. Miller, Ye M. Hakobyan, G. S. Pogosyan

Mathematics

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Abstract

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.

Original language	English (US)
Pages (from-to)	2291-2306
Number of pages	16
Journal	Journal of Mathematical Physics
Volume	40
Issue number	5
DOIs	https://doi.org/10.1063/1.532864
State	Published - May 1999

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Superintegrability on the two-dimensional hyperboloid. II

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