arXiv:1902.01782 [quant-ph]AbstractReferencesReviewsResources
Supersymmetric Quantum Mechanics: two factorization schemes, and quasi-exactly solvable potentials
J. Socorro, Marco A Reyes, Carlos VillaseƱor Mora
Published 2019-02-05Version 1
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 Schr\"odinger 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.
Comments: 14 pages, two figures, in press, chapter book, ISBN:978-953-51-6865-2
Categories: quant-ph
Subjects: 81V99
Keywords: supersymmetric quantum mechanics, quasi-exactly solvable potentials, factorization schemes, richer insights, general ideas
Tags: book chapter
Related articles: Most relevant | Search more
arXiv:2408.15424 [quant-ph] (Published 2024-08-27)
Recent Advances in Semiclassical Methods Inspired by Supersymmetric Quantum Mechanics
arXiv:quant-ph/0609072 (Published 2006-09-09)
Deformed Geometric Algebra and Supersymmetric Quantum Mechanics
arXiv:quant-ph/0210084 (Published 2002-10-11)
Supersymmetric Quantum Mechanics with a Point Singularity