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

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arxiv 1312.0087 v1 pith:P5JK7VFI submitted 2013-11-30 math-ph math.MPquant-ph

classification math-phmath.MPquant-ph
keywords quantumenergyformalismhamilton-jacobihartmannoscillatorpotentialsring-shaped
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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.

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  1. Landau levels in a gravitational field: The Schwarzschild spacetime case

    gr-qc 2019-09 conditional novelty 5.0 of 10

    In Schwarzschild spacetime, a weak gravitational field splits Landau levels by an amount proportional to GMm times the square root of the magnetic field, with explicit Yukawa, power-law, and relativistic corrections derived.

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