Nonlocal exchange energy of many-fermion systems of arbitrary dimensionality and interparticle interaction
Geldart, D. J. W.
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The exchange contributions to the ground-state energy of an inhomogeneous many-fermion system of arbitrary dimensionality are calculated. Explicit results are given for both the local-density approximation and the lowest-order gradient corrections for a class of interparticle interactions, including the Coulomb potential. For wider application, both the local-density approximation and the gradient corrections are decomposed into their wave-vector components. These exchange contributions can then be determined for arbitrary interparticle interaction by a simple quadrature
Gumbs, G., and D. J. W. Geldart. 1986. "Nonlocal exchange energy of many-fermion systems of arbitrary dimensionality and interparticle interaction." Physical Review B (Condensed Matter) 34(10): 6847-52. Copyright © 1986 American Physical Society.