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Superintegrability on the two-dimensional hyperboloid. II

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.
Type
Journal Article
Type of thesis
Series
Citation
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.
Date
1999-05
Publisher
Degree
Supervisors
Rights
Copyright 1999 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jsp