Friday, August 10, 2012

1208.1782 (David Bermudez)

Complex SUSY Transformations and the Painleve IV Equation    [PDF]

David Bermudez
In this paper we will work out explicitly the complex first-order SUSY transformation for the harmonic oscillator in order to obtain both real and complex new exactly-solvable potentials. Furthermore, this method will lead us to complex solutions of the Painleve IV equation with complex parameters.
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