2020/12/31 by Asim Gangopadhyaya, Jonathan Bougie, Constantin Rasinariu
Mathematics · Physics and Astronomy · #Canonical quantization #Quantization (signal processing) #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum system #Semiclassical physics #Spectral Theory in Mathematical Physics #Supersymmetry #hep-th #quant-ph
paper · pdf · doi:10.1088/1751-8121/ac060a
18 pages, 5 figures
openalex created_date 2020/12/21 · arxiv created 2021/01/19 · openalex publication_date 2021/05/27 · arxiv updated 2021/08/11 · openalex updated_date 2026/08/06
Abstract Semiclassical methods provide important tools for approximating solutions in quantum mechanics. In several cases these supposedly approximate solutions are intriguingly exact, 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.