Supersymmetric Quantum Mechanics and Painlevé IV Equation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Supersymmetric Quantum Mechanics and Painlevé IV Equation
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| Creator |
Bermudez, David
Fern'andez C., David J. |
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| Description |
As it has been proven, the determination of general one-dimensional Schrödinger Hamiltonians having third-order differential ladder operators requires to solve the Painlevé IV equation. In this work, it will be shown that some specific subsets of the higher-order supersymmetric partners of the harmonic oscillator possess third-order differential ladder operators. This allows us to introduce a simple technique for generating solutions of the Painlevé IV equation. Finally, we classify these solutions into three relevant hierarchies.
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| Date |
2019-02-11T15:02:05Z
2019-02-11T15:02:05Z 2011 |
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| Type |
Article
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| Identifier |
Supersymmetric Quantum Mechanics and Painlevé IV Equation / David Bermudez, David J. Fern'andez C. // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 27 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 81Q60; 35G20 DOI:10.3842/SIGMA.2011.025 http://dspace.nbuv.gov.ua/handle/123456789/146780 |
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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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