HYDROGEN ATOM AS AN EIGENVALUE PROBLEM IN 3-D SPACES OF CONSTANT CURVATURE AND MINIMAL LENGTH
HYDROGEN ATOM AS AN EIGENVALUE PROBLEM IN 3-D SPACES OF CONSTANT CURVATURE AND MINIMAL LENGTH
An old result of Stevenson [Phys. Rev.59, 842 (1941)] concerning the Kepler–Coulomb quantum problem on the three-dimensional (3-D) hypersphere is considered from the perspective of the radial Schrödinger equations on 3-D spaces of any (either positive, zero or negative) constant curvature. Further to Stevenson, we show in detail how to …