Rational Extension of Anisotropic Harmonic Oscillator Potentials in Higher Dimensions (2411.02955v1)

Published 5 Nov 2024 in quant-ph, hep-th, math-ph, and math.MP

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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