Statistics
Scientific paper
Nov 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...382..233a&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 382, Nov. 20, 1991, p. 233-241.
Statistics
18
Diatomic Molecules, Fermi-Dirac Statistics, Molecular Chains, Neutron Stars, Stellar Magnetic Fields, Thomas-Fermi Model, Field Strength, Kinetic Energy, Quantum Mechanics, Two Dimensional Models
Scientific paper
A Thomas-Fermi-Dirac-Weizsaecker statistical model is developed and employed to investigate diatomic molecules and infinite molecular chains in strong magnetic fields. The standard magnetic Thomas-Fermi-Dirac kinetic, potential, and exchange energy functionals are supplemented by a gradient correction to the kinetic energy. The numerical method used for solving this system in two spatial dimensions is detailed. Numerical solutions for a wide range of magnetic strengths and elements are presented to demonstrate the robustness, as well as the limitations, of the statistical approach. These calculations qualitatively reproduce many of the results of detailed quantum mechanical treatments. For example, the fractional binding energy is greatest for low atomic numbers and for strong magnetic fields.
Abrahams Andrew M.
Shapiro Stuart L.
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