Statistics – Computation
Scientific paper
Feb 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986mnras.218..477j&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 218, Feb. 1, 1986, p. 477-485.
Statistics
Computation
60
Atomic Energy Levels, Magnetic Field Configurations, Pulsars, Stellar Magnetic Fields, Boundary Conditions, Boundary Value Problems, Computational Astrophysics, Condensed Matter Physics, Correlation, Crystal Lattices, Density Distribution, Electric Field Strength, Ground State, Molecular Chains, Surface Properties
Scientific paper
The ground-state energies of rhombohedral and body-centered tetragonal atomic lattices in very strong magnetic fields have been calculated by means of density functionals. The exchange-correlation functional is that adopted in previous calculations of atomic and molecular chain ground-state energies. Approximate electronic eigenfunctions and eigenvalues of the lattice Kohn-Sham potential have been obtained by a local approximation in one angular variable. As a consequence, the implementation of density functional theory is less rigorous than in the previously published work on atoms and linear molecular chains. Atomic cohesive energies and electron chemical potentials have been derived for atomic numbers and magnetic flux densities relevant to the stellar surface in radio pulsars. The cohesive energies are small and, though subject to errors caused by the local approximation, show unambiguously that the electric field boundary condition is E.B = 0 at the surface.
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