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Supersymmetric Quantum Mechanics: two factorization schemes, and quasi-exactly solvable potentials

2019/02/05 by JOSÉ SOCORRO, Socorro, J., M. Reyes +3
Physics and Astronomy · #81V99 #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1902.01782

openalex publication_date 2019/02/05 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

We present the general ideas on SuperSymmetric Quantum Mechanics (SUSY-QM) using different representations for the operators in question, which are defined by the corresponding bosonic Hamiltonian as part of SUSY Hamiltonian and its supercharges, which are defined as matrix or differential operators. We show that, although most of the SUSY partners of one-dimensional Schrödinger problems have already been found,there are still some unveiled aspects of the factorization procedure which may lead to richer insights of the problem involved.

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