WKB approximation for multichannel barrier penetrability

K. Hagino, A. B. Balantekin

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)


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 languageEnglish
Article number032106
Pages (from-to)032106-1-032106-6
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number3
Publication statusPublished - 2004 Sep
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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