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Semiclassical self-consistent field perturbation theory for the hydrogen atom in a magnetic field
Authors:Alexei V. Sergeev  David Z. Goodson
Abstract:A recently developed perturbation theory for solving self-consistent field equations is applied to the hydrogen atom in a strong magnetic field. This system has been extensively studied using other methods and is therefore a good test case for the new method. The perturbation theory yields summable large-order expansions. The accuracy of the self-consistent field approximation varies according to field strength and quantum state but is often higher than the accuracy from adiabatic approximations. A new derivation is presented for the asymptotic adiabatic approximation, the most useful of the adiabatic approaches. This derivation uses semiclassical perturbation theory without invoking an adiabatic hypothesis. © 1998 John Wiley & Sons, Inc. Int J Quant Chem 69: 183–192, 1998
Keywords:self-consistent field theory  semiclassical perturbation theory  dimensional perturbation theory  adiabatic approximations  hydrogen atom in magnetic field
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