Hydrogen and Helium atoms in strong magnetic fields

Details Hydrogen and Helium atoms in strong magnetic fields Hydrogen and Helium atoms in strong magnetic fields

2008-06-19

arxiv.org/abs/0806.3113v2

Phys. Rev. A 79, 012514 (2009)

Astronomy and Astrophysics

Astrophysics

15 pages, 6 figures

Scientific paper

10.1103/PhysRevA.79.012514

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.

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