Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics
High Energy Physics - Theory
2009-09-10 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Nuclear Theory
Quantum Physics
Abstract
When several inequivalent supercharges form a closed superalgebra in Quantum Mechanics it entails the appearance of hidden symmetries of a Super-Hamiltonian. We examine this problem in one-dimensional QM for the case of periodic potentials and potentials with finite number of bound states. After the survey of the results existing in the subject the algebraic and analytic properties of hidden-symmetry differential operators are rigorously elaborated in the Theorems and illuminated by several examples.
Keywords
Cite
@article{arxiv.0906.0549,
title = {Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics},
author = {Alexander A. Andrianov and Andrey V. Sokolov},
journal= {arXiv preprint arXiv:0906.0549},
year = {2009}
}