Document Type
Article
Publication Date
6-24-2021
Publication Title
Journal of Physics A: Mathematical and Theoretical
Volume
54
Issue
29
Pages
1-18
Publisher Name
IOP Publishing
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.
Recommended Citation
Gangopadhyaya, Asim; Bougie, Jonathan; and Rasinariu, Constantin, "Exactness of Semiclassical Quantization Rule for Broken Supersymmetry" (2021). Physics: Faculty Publications and Other Works. 112.
https://ecommons.luc.edu/physics_facpubs/112
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Copyright Statement
© IOP Publishing, 2021.
Comments
Author Posting. © IOP Publishing, 2021. This is the Accepted Manuscript version of an article accepted for publication in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1751-8121/ac060a.