SWKB and proper quantization conditions for translationally shape-invariant potentials

Kamal Mahdi; Y. Kasri; Y. Grandati; A. Bérard

doi:10.1140/epjp/i2016-16259-3

EPJ

SWKB and proper quantization conditions for translationally shape-invariant potentials

Kamal Mahdi¹, Y. Kasri¹^,2^*, Y. Grandati² and A. Bérard²

¹ 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

Received: 9 May 2016
Accepted: 27 June 2016
Published online: 5 August 2016

Abstract

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.

23rd International Summer School on Vacuum, Electron, and Ion Technologies (VEIT)
18-22 September 2023
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EPJ

SWKB and proper quantization conditions for translationally shape-invariant potentials

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