Skip to main content
Log in

The probability of potential barrier penetration in the generalized wkB approximation

III. Asymmetric barriers

  • Published:
Soviet Physics Journal Aims and scope

Abstract

For the problem of particle penetration through one-dimensional asymmetric barriers, a new solution is obtained which is more accurate than in [1]. The applicability limits of the generalized WKB method, in calculating the probability of penetration through one-dimensional barriers, are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. N. I. Zhirnov, Izv. VUZ. Fizika [Soviet Physics Journal], no. 4, 28, 1965.

    Google Scholar 

  2. C. Eckart, Phys. Rev.,35, 1303, 1930.

    Google Scholar 

  3. I. M. Ryzhik and I. S. Gradshtein, Tables of Integrals, Sums, Series, and Products [in Russian], GITTL, Moscow, 1951.

    Google Scholar 

  4. L. D. Landau and E. M. Lifshits, Quantum Mechanics (Nonrelativistic Theory) [in Russian], Fizmatgiz, Moscow, 1963.

    Google Scholar 

  5. N. I. Zhirnov, Izv. VUZ. Fizika [Soviet Physics Journal], no. 6, 101, 1966.

    Google Scholar 

  6. N. I. Zhirnov, Izv. VUZ. Fizika [Soviet Physics Journal], no. 5, 41, 1966.

    Google Scholar 

  7. F. M. Morse and H. Feshbach, Methods of Theoretical Physics [Russian translation],2, IIL, Moscow, pp. 101–103, 1960.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

In conclusion, the author wishes to thank M. S. Rabinovich for his discussion of the work, and L. A. Kronrod for his help with the calculations.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhirnov, N.I. The probability of potential barrier penetration in the generalized wkB approximation. Soviet Physics Journal 9, 61–63 (1966). https://doi.org/10.1007/BF01103189

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01103189

Keywords

Navigation