Coulomb potential and the paradoxes of PT-symmetrization

Details Coulomb potential and the paradoxes of PT-symmetrization Coulomb potential and the paradoxes of PT-symmetrization

2012-04-05

arxiv.org/abs/1204.1257v1

Physics

Quantum Physics

16 pp., 3 figs., compact review written for conference proceedings dedicated to Peter Leach on his 70th birthday (http://mat

Scientific paper

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.

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