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.Science, Faculty ofPhysics and Astronomy, Department ofGraduat
