Coulomb potential and the paradoxes of PT-symmetrization

Abstract

Besides the standard quantum version of the Coulomb/Kepler problem, an alternative quantum model with not too dissimilar phenomenological (i.e., spectral and scattering) as well as mathematical (i.e., exact-solvability) properties may be formulated and solved. Several aspects of this model are described. The paper is made self-contained by explaining the underlying innovative quantization strategy which assigns an entirely new role to symmetries.

16 pp., 3 figs., compact review written for conference proceedings dedicated to Peter Leach on his 70th birthday (http://math.ukzn.ac.za/~pllrl/)

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