Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Andrianov, A.A., Sokolov, A.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149157
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics / A.A. Andrianov, A.V. Sokolov // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 42 назв. — англ.

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...