Complex solutions to Painleve IV equation through supersymmetric quantum mechanics

David Bermudez; David J. Fernandez C

doi:10.1063/1.3678612

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arXiv · 1110.0555

Complex solutions to Painleve IV equation through supersymmetric quantum mechanics

David Bermudez·David J. Fernandez C

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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.

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David Bermudez, David J. Fernandez C. 2011-10-04. Complex solutions to Painleve IV equation through supersymmetric quantum mechanics. https://doi.org/10.1063/1.3678612

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