Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics
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...
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| Дата: | 2009 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149157 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149157 |
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irk-123456789-1491572019-02-20T01:27:27Z Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics Andrianov, A.A. Sokolov, A.V. 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. 2009 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Andrianov, A.A. Sokolov, A.V. |
| spellingShingle |
Andrianov, A.A. Sokolov, A.V. Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Andrianov, A.A. Sokolov, A.V. |
| author_sort |
Andrianov, A.A. |
| title |
Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics |
| title_short |
Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics |
| title_full |
Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics |
| title_fullStr |
Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics |
| title_full_unstemmed |
Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics |
| title_sort |
hidden symmetry from supersymmetry in one-dimensional quantum mechanics |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149157 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT andrianovaa hiddensymmetryfromsupersymmetryinonedimensionalquantummechanics AT sokolovav hiddensymmetryfromsupersymmetryinonedimensionalquantummechanics |
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2023-05-20T17:32:27Z |
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2023-05-20T17:32:27Z |
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1796153526133456896 |