SUSY partners of the truncated oscillator, Painlevé transcendents and Bäcklund transformations

2016/03/16 by David J. Fernández C, VS Morales-Salgado · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1088/1751-8113/49/19/195202

published as J. Phys. A: Math. Theor. 49 (2016) 195202 (16 pages) · This article is a natural continuation of arXiv:1310.5628

arxiv created 2016/03/16 · arxiv updated 2016/12/08

Abstract

In this work the supersymmetric technique is applied to the truncated oscillator to generate Hamiltonians ruled by second and third-order polynomial Heisenberg algebras, which are connected to the Painlevé IV and Painlevé V equations respectively. The aforementioned connection is exploited to produce particular solutions to both non-linear differential equations and the Bäcklund transformations relating them.

Citations

• Supersymmetric partners of the harmonic oscillator with an infinite potential barrier

Cited by

• Higher Order Supersymmetric Truncated Oscillators

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