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Open Quantum Systems Decoherence Quantum Simulation

Supersymmetric partners of the harmonic oscillator with an infinite potential barrier

arXiv
Authors: David J. Fernández C, VS Morales-Salgado

Year

2013

Paper ID

31322

Status

Preprint

Abstract Read

~2 min

Abstract Words

84

Citations

N/A

Abstract

Supersymmetry transformations of first and second order are used to generate Hamiltonians with known spectra departing from the harmonic oscillator with an infinite potential barrier. It is studied also the way in which the eigenfunctions of the initial Hamiltonian are transformed. The first and certain second order supersymmetric partners of the initial Hamiltonian possess third-order differential ladder operators. Since systems with this kind of operators are linked with the Painlevé IV equation, several solutions of this non-linear second-order differential equation will be simply found.

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  • Supersymmetry transformations of first and second order are used to generate Hamiltonians with known spectra departing from the harmonic oscillator with an infinite potential...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1310.5628 [2] arXiv https://arxiv.org/abs/1310.5628 [3] Publisher https://arxiv.org/abs/1310.5628

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