SURFACE CORRECTIONS TO THE FERMI-THOMAS STATISTICAL THEORY
The Hartree-Fock equations are written in matrix torm with the aid of the Dirac density matrix. The Fermi-Thomas theory is generalized so that these equations are explicitly satisfied for the diagonal elements and those lying near the diagonal. This procedure modifies the functional relationship between the energy and particle densities by introducing a dependence of the former on the derivatives of the particle density and on the nature of the collective field. It is shown by a simple example that the modifications appear to bring the statistical theory into better agreement with the empirically known results for the case of a local average field. They also provide a method of estimating the effects of the non-locality of the average field on the surface characteristics of a many-body system. (auth)
- Research Organization:
- Univ. of Manchester, Eng.
- NSA Number:
- NSA-13-013011
- OSTI ID:
- 4263641
- Journal Information:
- Nuclear Phys., Journal Name: Nuclear Phys. Vol. Vol: 10
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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