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arXiv · 1007.4326

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

E. M. Ovsiyuk·V. M. Red'kov
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Abstract

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.

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E. M. Ovsiyuk, V. M. Red'kov. 2010-07-25. Exact spectrum for quantum oscillator in spaces of constant curvature from WKB-quantization. https://arxiv.org/abs/1007.4326

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