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Unified treatment of screening Coulomb and anharmonic oscillator potentials in arbitrary dimensions

Bulent Gonul·Okan Ozer·Mehmet Kocak
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Abstract

A mapping is obtained relating radial screened Coulomb systems with low screening parameters to radial anharmonic oscillators in N-dimensional space. Using the formalism of supersymmetric quantum mechanics, it is shown that exact solutions of these potentials exist when the parameters satisfy certain constraints.

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Bulent Gonul, Okan Ozer, Mehmet Kocak. 2004-03-29. Unified treatment of screening Coulomb and anharmonic oscillator potentials in arbitrary dimensions. https://arxiv.org/abs/quant-ph/0106144

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