Semiclassical self-consistent field perturbation theory for the hydrogen atom in a magnetic field

Alexei V. Sergeev, David Z. Goodson

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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.

Original languageEnglish
Pages (from-to)183-192
Number of pages10
JournalInternational Journal of Quantum Chemistry
Volume69
Issue number2
Publication statusPublished - 1998
Externally publishedYes

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Keywords

  • Adiabatic approximations
  • Dimensional perturbation theory
  • Hydrogen atom in magnetic field
  • Self-consistent field theory
  • Semiclassical perturbation theory

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

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