WKB approximation for multichannel barrier penetrability

K. Hagino; A. B. Balantekin

doi:10.1103/PhysRevA.70.032106

WKB approximation for multichannel barrier penetrability

K. Hagino, A. B. Balantekin

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

Abstract

The WKB formula for barrier penetrability to multichannel systems was generalized using the method of local transmission matrix. The WKB penetrability with a solution of the coupled channel equations were compared and it was shown that the formula works improved at energies below the lowest adiabatic barrier. When the multiple reflection of the classical path under the barrier was neglected, the formula worked well. The eigenchannel approach to a multichannel tunnelling was also discussed and this improved the performance of the WKB formula near and above the barrier.

Original language	English
Article number	032106
Pages (from-to)	032106-1-032106-6
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	70
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.70.032106
Publication status	Published - 2004 Sep
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.70.032106

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title = "WKB approximation for multichannel barrier penetrability",

abstract = "The WKB formula for barrier penetrability to multichannel systems was generalized using the method of local transmission matrix. The WKB penetrability with a solution of the coupled channel equations were compared and it was shown that the formula works improved at energies below the lowest adiabatic barrier. When the multiple reflection of the classical path under the barrier was neglected, the formula worked well. The eigenchannel approach to a multichannel tunnelling was also discussed and this improved the performance of the WKB formula near and above the barrier.",

author = "K. Hagino and Balantekin, {A. B.}",

note = "Funding Information: NUPABL 0375-9474 10.1016/S0375-9474(96)00466-6 615 , 69 ( 1997 ). K. Hagino and A.B. Balantekin (unpublished). The authors thank H. Horiuchi and Y. Fujiwara for useful discussions. A.B.B. gratefully acknowledges the 21st Century for Center of Excellence Program “Center for Diversity and Universality” at Kyoto University for financial support and thanks the Yukawa Institute for Theoretical Physics for its hospitality. This work was supported in part by the National Science Foundation, Grant No. PHY-0244384, and in part by the University of Wisconsin Research Committee with funds granted by the Wisconsin Alumni Research Foundation. ",

year = "2004",

month = sep,

doi = "10.1103/PhysRevA.70.032106",

language = "English",

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WKB approximation for multichannel barrier penetrability

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