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arXiv · 2212.13118

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

Asim Gangopadhyaya·Jonathan Bougie·Constantin Rasinariu
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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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Asim Gangopadhyaya, Jonathan Bougie, Constantin Rasinariu. 2022-12-22. Generalized Langer Correction and the Exactness of WKB for all Conventional Potentials. https://doi.org/10.1016/j.physleta.2023.128878

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