Quantum Kepler problem for spin 1/2 particle in spaces on constant curvature. I. Pauli theory

Details Quantum Kepler problem for spin 1/2 particle in spaces on constant curvature. I. Pauli theory Quantum Kepler problem for spin 1/2 particle in spaces on constant curvature. I. Pauli theory

2011-09-28

arxiv.org/abs/1109.6146v1

Nonlinear Phenomena in Complex Systems. 2011. Vol. 14, No.1. P. 14-26

Physics

Mathematical Physics

17 pages

Scientific paper

Transition to a nonrelativistic Pauli equation in Riemann space of constant positive curvature for a Dirac particle in presence of the Coulomb field is performed in the system of radial equations, exact solutions are constructed in terms of Hein functions, the energy spectrum is derived. The same is done for the Kepler quantum problem in hyperbolic Lobachevsky space, solutions are constructed in terms of Hein functions, the energy spectrum is obtained.

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