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The generalized WKB method in the three-dimensional case. IV

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Abstract

A method of successive approximations is developed for obtaining solutions of the basic equations of the WKB method in the three-dimensional case. Explicit expressions are found for the first approximations to the energy levels and wave functions of the bound states of a particle in a three-dimensional potential well which were obtained in zeroth approximation in [1, 2].

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Literature cited

  1. N. I. Zhirnov and F. B. Nurlygayanov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 5, 43 (1975).

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  2. N. I. Zhirnov and F. B. Nurlygayanov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 3, 127 (1976).

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  3. N. I. Zhirnov and F. B. Nurlygayanov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 3, 132 (1976).

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Authors and Affiliations

  1. V. I. Lenin Moscow State Pedagogic Institute, USSR

    N. I. Zhirnov & F. B. Nurlygayanov

Authors
  1. N. I. Zhirnov
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  2. F. B. Nurlygayanov
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 53–60, November, 1976.

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Zhirnov, N.I., Nurlygayanov, F.B. The generalized WKB method in the three-dimensional case. IV. Soviet Physics Journal 19, 1430–1435 (1976). https://doi.org/10.1007/BF00890788

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  • DOI: https://doi.org/10.1007/BF00890788

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