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Second approximation of the generalized WKBJ method. III

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Abstract

The problem of the passage of particles across a one-dimensional, single-humped potential barrier of arbitrary shape is solved in the second approximation of the generalized WKBJ method. The problem is reduced to terms of the order of ħ4 for particles having an energy equal to the barrier peak. The maximum error involved in the calculation of the transmission and subbarrier-reflection coefficients in the second approximation of the generalized WKBJ method is shown not to exceed 1%.

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Authors and Affiliations

  1. Lenin Moscow State Pedagogical Institute, USSR

    N. I. Zhirnov

Authors
  1. N. I. Zhirnov
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Additional information

Translated from Izvestiya VUZ. Fizika, Vol. 11, No. 11, pp. 108–118, November, 1968.

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Zhirnov, N.I. Second approximation of the generalized WKBJ method. III. Soviet Physics Journal 11, 86–96 (1968). https://doi.org/10.1007/BF00816071

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  • DOI: https://doi.org/10.1007/BF00816071

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