Exactness of Semiclassical Quantization Rule for Broken Supersymmetry

Abstract

Semiclassical methods provide important tools for approximating solutions in quantum mechanics. In several cases these methods are intriguingly exact rather than approximate, as has been shown by direct calculations on particular systems. In this paper we prove that the long-conjectured exactness of the supersymmetry-based semiclassical quantization condition for broken supersymmetry is a consequence of the additive shape invariance for the corresponding potentials.

arXiv comment18 pages, 5 figures

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Cited by in corpus (3)

• SWKB Quantization Condition for Conditionally Exactly Solvable Systems and the Residual Corrections
• Generalized Langer Correction and the Exactness of WKB for all Conventional Potentials
• Quantum Hamilton-Jacobi Quantization and Shape Invariance