Abstract
The problem of bound states in one-dimensional and spherically symmetric potential well is treated within the new formalism of the generalized WKB method, discussed in [1–3]. Exact quantization conditions for the binding energy are derived, and the errors in evaluating energy eigenvalues and wave functions in the zeroth approximation of the method are estimated.
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N. I. Zhirnov, Izv. Vysshikh Uchebn. Zaved., Fiz., No. 9, 58 (1972).
N. I. Zhirnov and A. A. Sokolov, Izv. Vysshikh Uchebn. Zaved. Fiz., No. 7, 65 (1974).
N. I. Zhirnov and A. A. Sokolov, Izv. Vysshikh. Uchebn. Zaved. Fiz., No. 1, 62 (1975).
N. Froman and P. O. Froman, WKB Approximation, North-Holland, Amsterdam (1965).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 81–86, April, 1975.
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Zhirnov, N.I., Sokolov, A.A. New approaches to the generalized WKB approximation. V. Soviet Physics Journal 18, 508–512 (1975). https://doi.org/10.1007/BF01093242
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DOI: https://doi.org/10.1007/BF01093242