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.
Similar content being viewed by others
References
N. I. Zhirnov, Izv. VUZ. Fizika [Soviet Physics Journal], no. 4, 28, 1965.
C. Eckart, Phys. Rev.,35, 1303, 1930.
I. M. Ryzhik and I. S. Gradshtein, Tables of Integrals, Sums, Series, and Products [in Russian], GITTL, Moscow, 1951.
L. D. Landau and E. M. Lifshits, Quantum Mechanics (Nonrelativistic Theory) [in Russian], Fizmatgiz, Moscow, 1963.
N. I. Zhirnov, Izv. VUZ. Fizika [Soviet Physics Journal], no. 6, 101, 1966.
N. I. Zhirnov, Izv. VUZ. Fizika [Soviet Physics Journal], no. 5, 41, 1966.
F. M. Morse and H. Feshbach, Methods of Theoretical Physics [Russian translation],2, IIL, Moscow, pp. 101–103, 1960.
Author information
Authors and Affiliations
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
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
Issue Date:
DOI: https://doi.org/10.1007/BF01103189