Semiclassical perturbation theory for energy levels of planetary atoms

Physics – Atomic Physics

Scientific paper

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Atomic Energy Levels, Atomic Structure, Perturbation Theory, Angular Momentum, Approximation, Atomic Physics, Quantum Numbers

Scientific paper

Classical first-order perturbation theory is applied to a two-electron atom. Semiclassical quantisation is used to obtain analytical first-order perturbation formulae for planetary atoms with two excited electrons. In the development of the theory, concepts suggested by the analogous quantal theory are employed. Numerical results are remarkably close to those of quantal first-order perturbation calculations even for low-lying states. For planetary atoms, with more than one Rydberg electron, the semiclassical calculations are much simpler. The results suggest that more precise semiclassical calculations would provide reliable estimates of energy levels of planetary atoms.

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