Particle-Number Projection and the Density Functional Theory

Abstract

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.

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

References in corpus (5)

• Intrinsic-Density Functionals
• Variation after Particle-Number Projection for the HFB Method with the Skyrme Energy Density Functional
• Angular-momentum projection of cranked symmetry-unrestricted Slater determinants
• Density-functional theory for the pairing Hamiltonian
• Pairing correlations beyond the mean field

Cited by in corpus (8)

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• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Khon-Sham Density Functional Inspired Approach to Nuclear Binding
• Non-empirical pairing functional
• Pairing in the Framework of the Unitary Correlation Operator Method (UCOM): Hartree-Fock-Bogoliubov Calculations
• Continuum and Symmetry-Conserving Effects in Drip-line Nuclei Using Finite-range Forces
• Shell-model Hamiltonian from self-consistent mean-field model: $N=Z$ nuclei
• Density Matrix Functional Theory for the Lipkin model