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Hydrogen and helium atoms in strong magnetic fields Thirumalai, Anand

Abstract

The energy levels of hydrogen and helium atoms in magnetic fields of arbitrary strength are calculated in this study. The current work contains estimates of the ground and first few excited Hartree-Fock states of these systems that are improvements upon previous estimates. The methodology involves computing the eigenvalues and eigenvectors of the generalized 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.

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