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The connection between classical and supersymmetric turning points for multifold quasi-degenerate problems in one dimension
Published in IOP PUBLISHING LTD
2002
Volume: 35
   
Issue: 10
Pages: 2441 - 2448
Abstract
Matching between numbers of classical and supersymmetric turning points is the key point for the transition from the Wentzel-Kramers-Brillouin (WKB) to the supersymmetric WKB (SWKB) quantization condition. But mismatch between these numbers for quasi-degenerate problems challenges the traditional transition from WKB to SWKB methods. Here we resolve this problem for the n-fold quasi-degenerate case by suggesting a transition from the WKB quantization condition for the supersymmetric partner potential to the SWKB quantization condition. Our explicit example of threefold quasi-degeneracy nicely demonstrates the procedure proposed here.
About the journal
JournalData powered by TypesetJournal of Physics A: Mathematical and General
PublisherData powered by TypesetIOP PUBLISHING LTD
ISSN0305-4470