Two-Dimensional Supersymmetric Quantum Mechanics: Two Fixed Centers of Force
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Two-Dimensional Supersymmetric Quantum Mechanics: Two Fixed Centers of Force
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| Creator |
González León, M.A.
Mateos Guilarte, J. M. de la Torre Mayado |
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| Description |
The problem of building supersymmetry in the quantum mechanics of two Coulombian centers of force is analyzed. It is shown that there are essentially two ways of proceeding. The spectral problems of the SUSY (scalar) Hamiltonians are quite similar and become tantamount to solving entangled families of Razavy and Whittaker-Hill equations in the first approach. When the two centers have the same strength, the Whittaker-Hill equations reduce to Mathieu equations. In the second approach, the spectral problems are much more difficult to solve but one can still find the zero-energy ground states.
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| Date |
2019-02-13T19:14:22Z
2019-02-13T19:14:22Z 2007 |
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| Type |
Article
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| Identifier |
Two-Dimensional Supersymmetric Quantum Mechanics: Two Fixed Centers of Force / M.A. González León, J. Mateos Guilarte, // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 45 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 81Q60; 81V55 http://dspace.nbuv.gov.ua/handle/123456789/147217 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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