Quantization rules for quasistationary states

V. S. Popov, V. D. Mur, A. V. Sergeev

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

The modification of the Bohr-Sommerfeld quantization rules, which is due to the barrier penetrability, is found. The equation obtained is valid for an arbitrary analytical potential U(x), obeying the quasiclassical conditions. It determines both the position Er and the width Δ of the quasistationary state. A generalization of the Gamow formula for multidimensional systems with separable coordinates is derived. A comparison with exactly solvable models as well as with numerical solutions of the Schrödinger equation for the Stark problem is performed.

Original languageEnglish
Pages (from-to)185-191
Number of pages7
JournalPhysics Letters A
Volume157
Issue number4-5
DOIs
Publication statusPublished - 29 Jul 1991
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Popov, V. S., Mur, V. D., & Sergeev, A. V. (1991). Quantization rules for quasistationary states. Physics Letters A, 157(4-5), 185-191. https://doi.org/10.1016/0375-9601(91)90048-D

Quantization rules for quasistationary states. / Popov, V. S.; Mur, V. D.; Sergeev, A. V.

In: Physics Letters A, Vol. 157, No. 4-5, 29.07.1991, p. 185-191.

Research output: Contribution to journalArticle

Popov, VS, Mur, VD & Sergeev, AV 1991, 'Quantization rules for quasistationary states', Physics Letters A, vol. 157, no. 4-5, pp. 185-191. https://doi.org/10.1016/0375-9601(91)90048-D
Popov, V. S. ; Mur, V. D. ; Sergeev, A. V. / Quantization rules for quasistationary states. In: Physics Letters A. 1991 ; Vol. 157, No. 4-5. pp. 185-191.
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