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arXiv · quant-ph/9602007

Radial Coulomb and Oscillator Systems in Arbitrary Dimensions

Alan Kostelecky·Neil Russell
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Abstract

A mapping is obtained relating analytical radial Coulomb systems in any dimension greater than one to analytical radial oscillators in any dimension. This mapping, involving supersymmetry-based quantum-defect theory, is possible for dimensions unavailable to conventional mappings. Among the special cases is an injection from bound states of the three-dimensional radial Coulomb system into a three-dimensional radial isotropic oscillator where one of the two systems has an analytical quantum defect. The issue of mapping the continuum states is briefly considered.

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Alan Kostelecky, Neil Russell. 1996-02-10. Radial Coulomb and Oscillator Systems in Arbitrary Dimensions. https://doi.org/10.1063/1.531504

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