SWKB and proper quantization conditions for translationally shape-invariant potentials
Laboratoire de Physique Théorique, Faculté des Sciences Exactes, Université de Bejaia, 06000, Bejaia, Algeria
2 Equipe BioPhysStat, Laboratoire LCP-A2MC, ICPMB, IF CNRS No.2843, Université de Lorraine, 1 bvd D.F. Arago, 57078, Metz, France
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Accepted: 27 June 2016
Published online: 5 August 2016
Using a recently proposed classification for the primary translationally shape-invariant potentials, we show that the exact quantization rule formulated by Ma and Xu is equivalent to the supersymmetric JWKB quantization condition. The energy levels for the two considered categories of shape-invariant potentials are also derived.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016