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WKB approximation for multichannel barrier penetrability

2004/04/30 by K. Hagino, A. B. Balantekin · 1 citation
Engineering · Physics and Astronomy · #Adiabatic process #Atomic and Molecular Physics #Channel (broadcasting) #Computer science #Laser-Matter Interactions and Applications #Materials science #Matrix (chemical analysis) #Physics #Quantum mechanics #Quantum tunnelling #Rectangular potential barrier #Telecommunications #Terahertz technology and applications #Transmission (telecommunications) #WKB approximation #nucl-th #quant-ph

paper · pdf · doi:10.1103/physreva.70.032106

published as Phys.Rev. A70 (2004) 032106 · 15 pages, 4 eps figures

arxiv created 2004/04/30 · openalex publication_date 2004/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Using the method of the local transmission matrix, we generalize the well-known WKB formula for barrier penetrability to multichannel systems. We compare the WKB penetrability with a solution of the coupled-channels equations, and show that the WKB formula works well at energies well below the lowest adiabatic barrier. We also discuss the eigenchannel approach to a multichannel tunneling, which may improve the performance of the WKB formula near and above the barrier.

Citations

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