Supersymmetry and the relationship between the Coulomb and oscillator problems in arbitrary dimensions
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1985
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American Physical Society
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Abstract
We construct the relationship between the radial equations of the $d$-dimensional hydrogen atom and the $D$-dimensional simple harmonic oscillator. The supersymmetric partners of each of these systems are obtained, and a series of maps between the various systems is delineated. We present an explicit physical example of our maps. Finally, we generalize to D dimensions the recent work of Balantekin on the supersymmetric oscillator with spin-orbit coupling, and we demonstrate that this supersymmetry is different from the one we study.
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Kostelecký, V.A., Nieto, M.M., & Truax, D.R. (1985). Supersymmetry and the relationship between the Coulomb and oscillator problems in arbitrary dimensions. Physical Review D, 32(10), 2627-2633. http://dx.doi.org/10.1103/PhysRevD.32.2627
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© 1985 American Physical Society.
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Article