Supersymmetric Quantum Mechanics and Painlevé IV Equation

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...

Full description

Bibliographic Details
Main Authors: David Bermúdez, David J. Fernández C.
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-03-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.025