On the relationship between the screening coulomb and anharmonic oscillator potentials in arbitrary dimensions
نویسندگان
چکیده
The eigenvalues of the potentials V (r) = A1 r + A2 + A3r + A4r 2 + A5r 3 + A6r 4 and V (r) = B1r 2 + B2r 4 + B3r 6 + B4r 8 + B5r 10 are obtained in N -dimensional space by the Lagrange-mesh calculations for a wide range of values of the parameters. We discuss the explicit dependence of these two potentials in higher-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. Pacs Numbers: 03.65.Ca, 03.65.Ge, 11.30.Na
منابع مشابه
Unified treatment of screening Coulomb and anharmonic oscillator potentials in arbitrary dimensions
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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