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Journal of Anhui Normal University

TWO WAYS OF ANALYZING ATOM'S SPLITTING ENERGY LEVELS IN THE MAGNETIC FIELD AND COMPARISON

Liang Mao hui

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

The behavior of an atom in magnetic field is a basic problem.In this paper,the splitting of energy levels for a single electron atom in a magnetic field is discussed by using two different methods,namely quantum mechanics and group theory.The merits of these methods are compared.

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The energy levels of hydrogen and helium atoms in strong magnetic fields are calculated in this study. The current work contains estimates of the binding energies of the first few low-lying states of these systems that are improvements upon previous estimates. The methodology involves computing the eigenvalues and eigenvectors of the generalized two-dimensional Hartree-Fock partial differential equations for these one- and two-electron systems in a self-consistent manner. The method described herein is applicable to calculations of atomic structure in magnetic fields of arbitrary strength as it exploits the natural symmetries of the problem without assumptions of any basis functions for expressing the wave functions of the electrons or the commonly employed adiabatic approximation. The method is found to be readily extendable to systems with more than two electrons.