Energy spectra of Hartmann and ring-shaped oscillator potentials using the quantum Hamilton-Jacobi formalism

Abstract

In the present work, we apply the exact quantization condition, introduced within the framework of Padgett and Leacock's quantum Hamilton-Jacobi formalism, to angular and radial quantum action variables in the context of the Hartmann and the ring-shaped oscillator potentials which are separable and non central. The energy spectra of the two systems are exactly obtained.

13 pages, no figures

References in corpus (1)

• A Group-Theoretical Method for Natanzon Potentials in Position-Dependent Mass Background

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• Schrodinger Equation for Non-Pure Dipole Potential in 2D Systems
• Quantum Hamilton-Jacobi Quantization and Shape Invariance