Complex solutions to Painleve IV equation through supersymmetric quantum mechanics

Details Complex solutions to Painleve IV equation through supersymmetric quantum mechanics Complex solutions to Painleve IV equation through supersymmetric quantum mechanics

2011-10-04

arxiv.org/abs/1110.0555v1

Physics

Quantum Physics

5 pages, 3 figures. Talk given at the Advanced Summer School 2011, Cinvestav (Mexico City), July 2011

Scientific paper

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.

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