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A multiple‐transition‐point WKB investigation of complex energy resonances
Author(s) -
Andersson Nils
Publication year - 1993
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560460305
Subject(s) - wkb approximation , semiclassical physics , point (geometry) , physics , transition point , energy (signal processing) , quantum mechanics , statistical physics , mathematical physics , mathematics , quantum , thermodynamics , geometry
Approximate conditions determining the complex energy resonances of a one‐dimensional model potential, originally discussed by Moiseyev et al., are derived within a multiple‐transition‐point WKB treatment. It is shown that an erroneous energy spectrum is generated if too few transition points are considered. The numerical results of a correct semiclassical treatment of the problem, where several transition points are included, agree well with the, presumably exact, results of Rittby, Elander, and Brändas. © 1993 John Wiley & Sons, Inc.