Density-functional theory for the pairing Hamiltonian

Details Density-functional theory for the pairing Hamiltonian Density-functional theory for the pairing Hamiltonian

2006-09-29

arxiv.org/abs/nucl-th/0609084v1

Phys.Rev.C75:014304,2007

Physics

Nuclear Physics

Nuclear Theory

7 pages

Scientific paper

10.1103/PhysRevC.75.014304

We consider the pairing Hamiltonian and systematically construct its density functional in the strong-coupling limit and in the limit of large particle number. In the former limit, the functional is an expansion into central moments of occupation numbers. In the latter limit, the functional is known from BCS theory. Both functionals are nonlocal in structure, and the nonlocalities are in the form of simple products of local functionals. We also derive the relation between the occupation numbers and the Kohn-Sham density.

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