Supersymmetric Quantum Mechanics and Painlevé IV Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Bermudez, David, Fern'andez C., David J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146780
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 harmo...