Document Type
Article
Publication Date
6-29-2023
Publication Title
Journal of Physics A: Mathematical and Theoretical
Volume
56
Issue
29
Pages
1-27
Publisher Name
IOP Publishing
Abstract
Quantum Hamilton-Jacobi quantization scheme uses the singularity structure of the potential of a quantum mechanical system to generate its eigenspectrum and eigenfunctions, and its efficacy has been demonstrated for several well known conventional potentials. Using a recent work in supersymmetric quantum mechanics, we prove that the additive shape invariance of all conventional potentials and unbroken supersymmetry are sufficient conditions for their solvability within the quantum Hamilton-Jacobi formalism.
Recommended Citation
Dasgupta, Rathi and Gangopadhyaya, Asim, "Quantum Hamilton–Jacobi quantization and shape invariance" (2023). Physics: Faculty Publications and Other Works. 111.
https://ecommons.luc.edu/physics_facpubs/111
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Copyright Statement
© IOP Publishing, 2023.
Comments
Author Posting. © IOP Publishing, 2023. 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/acddae.