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

Autor:	Gangopadhyaya, Asim, Bougie, Jonathan, Rasinariu, Constantin
Rok vydání:	2022
Předmět:	Quantum Physics High Energy Physics - Theory
Druh dokumentu:	Working Paper
DOI:	10.1016/j.physleta.2023.128878
Popis:	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. Comment: 28 pages, no figures, accepted for publication in Physics Letters A
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.13118 Zobrazit plný text záznamu View this record from Arxiv