Complex solutions to Painleve IV equation through supersymmetric quantum mechanics
arXiv:1110.0555 · doi:10.1063/1.3678612
Abstract
In this work, supersymmetric quantum mechanics will be used to obtain complex solutions to Painleve IV equation with real parameters. We will also focus on the properties of the associated Hamiltonians, i.e. the algebraic structure, the eigenfunctions and the energy spectra.
5 pages, 3 figures. Talk given at the Advanced Summer School 2011, Cinvestav (Mexico City), July 2011
Cited by in corpus (5)
- Complex SUSY Transformations and the Painlevé IV Equation
- Solutions to the Painlevé V equation through supersymmetric quantum mechanics
- On Integrable Ermakov-Painlevé IV Systems
- Generalized Hermite Polynomials and Monodromy-Free Schrödinger Operators
- Lectures on exceptional orthogonal polynomials and rational solutions to Painlevé equations