Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
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| Creator |
Ioffe, M.V.
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| Description |
Two different approaches are formulated to analyze two-dimensional quantum models which are not amenable to standard separation of variables. Both methods are essentially based on supersymmetrical second order intertwining relations and shape invariance - two main ingredients of the supersymmetrical quantum mechanics. The first method explores the opportunity to separate variables in the supercharge, and it allows to find a part of spectrum of the Schrödinger Hamiltonian. The second method works when the standard separation of variables procedure can be applied for one of the partner Hamiltonians. Then the spectrum and wave functions of the second partner can be found. Both methods are illustrated by the example of two-dimensional generalization of Morse potential for different values of parameters.
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| Date |
2019-02-09T19:39:06Z
2019-02-09T19:39:06Z 2010 |
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| Type |
Article
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| Identifier |
Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics / M.V. Ioffe // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 27 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 81Q60 doi:10.3842/SIGMA.2010.075 http://dspace.nbuv.gov.ua/handle/123456789/146511 |
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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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