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Rational Extension of Anisotropic Harmonic Oscillator Potentials in Higher Dimensions
arXiv
Authors: Rajesh Kumar, Rajesh Kumar Yadav, Avinash Khare
Year
2024
Paper ID
37216
Status
Preprint
Abstract Read
~2 min
Abstract Words
45
Citations
N/A
Abstract
This paper presents the first-order supersymmetric rational extension of the quantum anisotropic harmonic oscillator (QAHO) in multiple dimensions, including full-line, half-line, and their combinations. The exact solutions are in terms of the exceptional orthogonal polynomials. The rationally extended potentials are isospectral to the conventional QAHOs.
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- This paper presents the first-order supersymmetric rational extension of the quantum anisotropic harmonic oscillator (QAHO) in multiple dimensions, including full-line...
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