Rational Extension of Anisotropic Harmonic Oscillator Potentials in Higher Dimensions

• URL: http://arxiv.org/abs/2411.02955v1
• Date: Tue, 05 Nov 2024 09:53:57 GMT
• Title: Rational Extension of Anisotropic Harmonic Oscillator Potentials in Higher Dimensions
• Authors: Rajesh Kumar, Rajesh Kumar Yadav, Avinash Khare,
• Abstract summary: 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 exceptionals. The rationally extended potentials are isospectral to the conventional QAHOs.
• Score: 2.6171788822864923
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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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