Extended Thomas-Fermi approximation to the one-body density matrix

Abstract

The one-body density matrix is derived within the Extended Thomas-Fermi approximation. This has been done starting from the Wigner-Kirkwood distribution function for a non-local single-particle potential. The links between this new approach to the density matrix with former ones available in the literature are widely discussed. The semiclassical Hartree-Fock energy at Extended Thomas-Fermi level is also obtained in the case of a non-local one-body Hamiltonian. Numerical applications are performed using the Gogny and Brink-Boeker effective interactions. The semiclassical binding energies and root mean square radii are compared with the fully quantal ones and with those obtained using the Strutinsky averaged method.

27 pages, LateX, and 2 PostScript figures, (submitted to Nucl. Phys. A)

References in corpus (1)

• Hartree Fock Calculations in the Density Matrix Expansion Approach

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