Abstract
The approximation method, discussed in [1], of calculating the coefficients of penetration through one-dimensional potential barriers is unsuitable at small values of the energy. In the present work this insufficiency is removed by applying some additional conditions to the basic potential W(S). A new solution is given for the problem of particle penetration through a symmetric barrier.
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N. I. Zhirnov, Izv. VUZ. Fizika [Soviet Physics Journal], no. 4, 28, 1965.
S. C. Miller and R. H. Good, Phys. Rev.,91, 174, 1953.
A. S. Davydov, Theory of the Atomic Nucleus [in Russian], Fizmatgiz, Moscow, 1958.
E. Kemble, The Fundamental Principles of Quantum Mechanics, New York-London, 1937.
L. D. Landau and E. M. Lifshits, Quantum Mechanics (Nonrelativistic Theory) [in Russian], Fizmatgiz, Moscow, 1963.
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Zhirnov, N.I. The probability of potential barrier penetration in the generalized wkB approximation. Soviet Physics Journal 9, 56–60 (1966). https://doi.org/10.1007/BF01103188
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DOI: https://doi.org/10.1007/BF01103188