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arXiv:1007.4326 [math-ph]AbstractReferencesReviewsResources

Exact spectrum for quantum oscillator in spaces of constant curvature from WKB-quantization

E. M. Ovsiyuk, V. M. Red'kov

Published 2010-07-25Version 1

Quantum-mechanical WKB-method is elaborated for the known quantum oscillator problem in curved 3-spaces models Euclid, Riemann, and Lobachevsky E_{3}, H_{3}, S_{3} in the framework of the complex variable function theory. Generalized generally covariant Schr\"{o}dinger equation is considered. In all three space models, exact energy levels are found with the help of constructing special formal WKB-sieries.

Comments: 12 pages, Contrivution to BGL-7: International Conference on Non-Euclidean Geometry and its applications. 5 -- 9 July 2010, Kluj-Napoca, ROMANIA
Journal: Doklady Natsionalnoi Akademii Nauk Belarusi. 2010. 54, no 6. 38-45
Categories: math-ph, math.MP, quant-ph
Subjects: G.1
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