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arXiv · 2411.02955

Rational Extension of Anisotropic Harmonic Oscillator Potentials in Higher Dimensions

Rajesh Kumar·Rajesh Kumar Yadav·Avinash Khare
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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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Rajesh Kumar, Rajesh Kumar Yadav, Avinash Khare. 2024-11-05. Rational Extension of Anisotropic Harmonic Oscillator Potentials in Higher Dimensions. https://arxiv.org/abs/2411.02955

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