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) |
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Pages (from-to) | 2291-2306 |
Number of pages | 16 |
Journal | Journal of Mathematical Physics |
Volume | 40 |
Issue number | 5 |
DOIs | |
State | Published - May 1999 |