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Generalized WKB method in the three-dimensional case. I

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Abstract

The possibility of using the generalized WKB method for studying the steady states of a single-frequency system in three-dimensional potential fields which do not allow the variables to be separated in the Schrödinger equation is considered. Approximate wave functions are constructed; these transform into the well-known van Horn wave functions in the quasiclassical case.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 43–50, May, 1975.

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Zhirnov, N.I., Nurlygayanov, F.B. Generalized WKB method in the three-dimensional case. I. Soviet Physics Journal 18, 630–635 (1975). https://doi.org/10.1007/BF00893993

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Keywords

  • Steady State
  • Wave Function
  • Potential Field
  • Approximate Wave
  • Approximate Wave Function