Complex SUSY Transformations and the Painlevé IV Equation

In this paper we will explicitly work out the complex first-order SUSY transformation for the harmonic oscillator in order to obtain both real and complex new exactly-solvable potentials. Furthermore, we will show that this systems lead us to exact complex solutions of the Painlevé IV equation with...

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Datum:2012
1. Verfasser: Bermúdez, D.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2012
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/148467
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Complex SUSY Transformations and the Painlevé IV Equation / D. Bermúdez // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 39 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine