On WKB-Quantization for Kepler Problem in Euclide, Riemann and Lobachevsky 3-Space
High Energy Physics - Theory
2011-09-15 v1
Abstract
Quantum mechanical WKB-method is elaborated for the known quantum Kepler problem in curved 3-space models Euclide, Riemann and Lobachevsky in the framework of the complex variable function theory. Generalized Schr\"{o}dinger, Klein-Fock hydrogen atoms are considered. Exact energy levels are found and their exactness is proved on the base of exploration into -degree terms of the WKB-series. Dirac equation is solved too, but only approximate energy spectrum is established.
Cite
@article{arxiv.hep-th/0305214,
title = {On WKB-Quantization for Kepler Problem in Euclide, Riemann and Lobachevsky 3-Space},
author = {V. M. Red'kov},
journal= {arXiv preprint arXiv:hep-th/0305214},
year = {2011}
}
Comments
18 pages