Exact spectrum for quantum oscillator in spaces of constant curvature from WKB-quantization
Abstract
Quantum-mechanical WKB-method is elaborated for the known quantum oscillator problem in curved 3-spaces models Euclid, Riemann, and Lobachevsky E3, H3, S3 in the framework of the complex variable function theory. Generalized generally covariant Schr\"odinger equation is considered. In all three space models, exact energy levels are found with the help of constructing special formal WKB-sieries.
0