Abstract
In this work we examine the basis functions for those quantum mechanical systems on two-dimensional complex Euclidean space, with nonzero potential, that admit separation in at least two coordinate systems. We present all of these cases from a unified point of view. In particular, all of the polynomial special functions that arise via variable separation have their essential features expressed in terms of their zeros.
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Kalnins, E.G., Miller, W., Pogosyan, G.S. (2001). Superintegrability on Two-Dimensional Complex Euclidean Space. In: Saint-Aubin, Y., Vinet, L. (eds) Algebraic Methods in Physics. CRM Series in Mathematical Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0119-6_7
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DOI: https://doi.org/10.1007/978-1-4613-0119-6_7
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