Particle-Number Projection and the Density Functional Theory

Details Particle-Number Projection and the Density Functional Theory Particle-Number Projection and the Density Functional Theory

2007-08-03

arxiv.org/abs/0708.0441v1

Phys.Rev.C76:054315,2007

Physics

Nuclear Physics

Nuclear Theory

18 RevTex pages, 12 figures, submitted to Physical Review C

Scientific paper

10.1103/PhysRevC.76.054315

In the framework of the Density Functional Theory for superconductors, we study the restoration of the particle number symmetry by means of the projection technique. Conceptual problems are outlined and numerical difficulties are discussed. Both are related to the fact that neither the many-body Hamiltonian nor the wave function of the system appear explicitly in the Density Functional Theory. Similar obstacles are encountered in self-consistent theories utilizing density-dependent effective interactions.

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