Hydrogen and helium atoms in strong magnetic fields
Abstract
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 lowlying states of these systems that are improvements upon previous estimates. The methodology involves computing the eigenvalues and eigenvectors of the generalized twodimensional HartreeFock partial differential equations for these one and twoelectron systems in a selfconsistent 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.
 Publication:

Physical Review A
 Pub Date:
 January 2009
 DOI:
 10.1103/PhysRevA.79.012514
 arXiv:
 arXiv:0806.3113
 Bibcode:
 2009PhRvA..79a2514T
 Keywords:

 31.15.xr;
 31.15.xt;
 31.15.ac;
 Selfconsistentfield methods;
 Variational techniques;
 Highprecision calculations for fewelectron atomic systems;
 Astrophysics;
 Physics  Atomic Physics
 EPrint:
 15 pages, 6 figures