Truncated harmonic oscillator and Painlevé IV and V equations

Truncated harmonic oscillator and Painlevé IV and V equations

Quantum systems described by second and third order polynomial Heisenberg algebras are obtained applying supersymmetric quantum mechanics to the harmonic oscillator with an infinite potential barrier. These systems are linked with the Painlevé IV and V equations, respectively, thus several solutions...

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Veröffentlicht in:Journal of physics. Conference series 2015-06, Vol.624 (1), p.12017
Hauptverfasser: C, David J Fernández, Morales-Salgado, V S
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Harmonic oscillators
Mathematical analysis
Physics
Polynomials
Quantum mechanics
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Zusammenfassung:Quantum systems described by second and third order polynomial Heisenberg algebras are obtained applying supersymmetric quantum mechanics to the harmonic oscillator with an infinite potential barrier. These systems are linked with the Painlevé IV and V equations, respectively, thus several solutions of these non-linear second-order differential equations will be found, along with a chain of Bäcklund transformations connecting such solutions.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/624/1/012017