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- W1998372232 abstract "Abstract We present a rigorous path integral treatment of a dynamical system in the axially symmetric potential $V(r,theta ) = V(r) + tfrac{1} {{r^2 }}V(theta ) $ . It is shown that the Green’s function can be calculated in spherical coordinate system for $V(theta ) = frac{{hbar ^2 }} {{2mu }}frac{{gamma + beta sin ^2 theta + alpha sin ^4 theta }} {{sin ^2 theta cos ^2 theta }} $ . As an illustration, we have chosen the example of a spherical harmonic oscillator and also the Coulomb potential for the radial dependence of this noncentral potential. The ring-shaped oscillator and the Hartmann ring-shaped potential are considered as particular cases. When α = β = γ = 0, the discrete energy spectrum, the normalized wave function of the spherical oscillator and the Coulomb potential of a hydrogen-like ion, for a state of orbital quantum number l ≥ 0, are recovered." @default.
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- W1998372232 date "2013-01-01" @default.
- W1998372232 modified "2023-09-26" @default.
- W1998372232 title "Path integral treatment of a noncentral electric potential" @default.
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- W1998372232 doi "https://doi.org/10.2478/s11534-012-0125-9" @default.
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