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arxiv: quant-ph/0106144 · v3 · submitted 2001-06-25 · 🪐 quant-ph

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

classification 🪐 quant-ph
keywords anharmoniccoulombparameterspotentialsradialscreeningarbitrarycertain
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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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