Hartree-Fock calculations for atoms in strong magnetic fields. I - Energy levels of two-electron systems

Physics

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Atomic Energy Levels, Electron States, Hartree-Fock-Slater Method, Stellar Magnetic Fields, White Dwarf Stars, Adiabatic Equations, Electron Scattering, Neutron Stars, Stellar Mass Accretion

Scientific paper

The Hartree-Fock (HF) method is invoked in a general approach to N-electron systems in superstrong magnetic fields. The system of equations for self-consistently determining the arbitrary longitudinal functions is derived from Slater determinants having single particle wavefunctions that are products of Landau states and the longitudinal functions. Expansions of the matrix elements of the electron-nucleus and electron-electron interaction occurring between arbitrary Landau states are presented in the form of numerically feasible basis functions. The Froese-Fischer (1977, 1978) code required modification in order to solve the HF equations. Calculations are presented for the case of the ground-state energies of helium-like systems with nuclear charges up to Z equals 26 and magnetic field strengths in the 500,000-5 billion T range.

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