Miloslav Znojil
Published 2012-04-05Version 1
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.
Comments: 16 pp., 3 figs., compact review written for conference proceedings dedicated to Peter Leach on his 70th birthday (http://math.ukzn.ac.za/~pllrl/)
Journal: J. Engineering Math. 82, Issue 1, pp 173-185, October 2013
One-dimensional scattering problem, self-adjoint extensions, renormalizations and point $δ$-interactions for Coulomb potential
Relativistic precession of quantum elliptical states in the Coulomb potential
Why can an electron mass vary from zero to infinity?
![QR code for arXiv:1204.1257 [quant-ph]](http://oss.arxitics.com/images/favicon.svg)