Abstract
An effective quantum number as some linear combination of the radial and orbital quantum numbers with the coefficient depending on the specific form of centrally symmetric potentials is introduced. This quantum number defines the order of the level succession and the values of their energies by means of a modified semiclassical quantization condition. The developing method presents some perturbation theory treating given potentials in comparison with the oscillator and Coulomb ones.
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Tarbeyev, Y.V., Trunov, N.N., Lobashev, A.A., Kukhar, V.V. (2002). Effective Quantum Number for Centrally Symmetric Potentials. In: Albeverio, S., Elander, N., Everitt, W.N., Kurasov, P. (eds) Operator Methods in Ordinary and Partial Differential Equations. Operator Theory: Advances and Applications, vol 132. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8219-4_29
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DOI: https://doi.org/10.1007/978-3-0348-8219-4_29
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