Exactness of SWKB for shape invariant potentials

DOI10.1016/j.physleta.2020.126722zbMath1448.81339arXiv2005.06683OpenAlexW3026007073MaRDI QIDQ2213306

Constantin Rasinariu, Jeffry V. Mallow, Asim Gangopadhyaya, Jonathan Bougie

Publication date: 30 November 2020

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06683

zbMATH Keywords

semiclassical approximationsupersymmetric quantum mechanicsshape invarianceexactly solvable systemsSWKB

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Supersymmetry and quantum mechanics (81Q60) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (6)

Infinite families of shape invariant potentials with \(n\) parameters subject to translation ⋮ Generalized Langer correction and the exactness of WKB for all conventional potentials ⋮ Quantum Hamilton–Jacobi quantization and shape invariance ⋮ Quantum gases on a torus ⋮ SWKB quantization condition for conditionally exactly solvable systems and the residual corrections ⋮ Exactness of semiclassical quantization rule for broken supersymmetry

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