Generalized Langer Correction and the Exactness of WKB for all Conventional Potentials

• URL: http://arxiv.org/abs/2212.13118v2
• Date: Fri, 28 Apr 2023 04:03:12 GMT
• Title: Generalized Langer Correction and the Exactness of WKB for all Conventional Potentials
• Authors: Asim Gangopadhyaya, Jonathan Bougie, Constantin Rasinariu
• Abstract summary: We show that the Langer correction generates the exact quantization condition for all conventional potentials. We also prove that this correction is related to the previously proven exactness of SWKB for these potentials.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper we investigate the exactness of the WKB quantization condition for translationally shape invariant systems. In particular, using the formalism of supersymmetric quantum mechanics, we generalize the Langer correction and show that it generates the exact quantization condition for all conventional potentials. We also prove that this correction is related to the previously proven exactness of SWKB for these potentials.

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