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Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics

Vernadsky National Library of Ukraine

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Title Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics
 
Creator Andrianov, A.A.
Sokolov, A.V.
 
Description 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.
 
Date 2019-02-19T17:49:49Z
2019-02-19T17:49:49Z
2009
 
Type Article
 
Identifier 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.
1815-0659
2000 Mathematics Subject Classification: 81Q60; 81R15; 47B15
http://dspace.nbuv.gov.ua/handle/123456789/149157
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України