2003/02/28 by S. A. Gurvitz, P. B. Semmes, P.B. Semmes +2 · 3 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Algorithm #Chemistry #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Mathematics #Matrix (chemical analysis) #Physics #Potential energy #Potential method #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Quantum tunnelling #RADIUS #Resonance (particle physics) #Simple (philosophy) #cond-mat #nlin.CD #nucl-th #quant-ph
paper · pdf · doi:10.1103/physreva.69.042705
published as Phys.Rev.A69:042705,2004 · 7 two-column pages, 3 figures, extra-explanation added, Phys. Rev. A, in press
arxiv created 2004/02/11 · openalex publication_date 2004/04/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
One-body quantum tunneling to continuum is treated via the two-potential approach, dividing the tunneling potential into external and internal parts. We show that corrections to this approach can be minimized by taking the separation radius inside the interval determined by simple expressions. The resulting modified two-potential approach reproduces the resonance's energy and the width, both for narrow and wide resonances. We also demonstrate that, without losing its accuracy, the two-potential approach can be modified to a form resembling the R-matrix theory, yet without any uncertainties related to the choice of the matching radius.