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Title: 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.

Authors:
 [1];  [2];  [2];  [3]
  1. Warsaw University
  2. ORNL
  3. Universitat Erlangen, Germany
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Holifield Radioactive Ion Beam Facility
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
932099
DOE Contract Number:  
DE-AC05-00OR22725
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review C; Journal Volume: 76; Journal Issue: 5
Country of Publication:
United States
Language:
English

Citation Formats

Dobaczewski, J., Stoitsov, Mario, Nazarewicz, Witold, and Reinhard, P.-G. Particle-Number Projection and the Density Functional Theory. United States: N. p., 2007. Web. doi:10.1103/PhysRevC.76.054315.
Dobaczewski, J., Stoitsov, Mario, Nazarewicz, Witold, & Reinhard, P.-G. Particle-Number Projection and the Density Functional Theory. United States. doi:10.1103/PhysRevC.76.054315.
Dobaczewski, J., Stoitsov, Mario, Nazarewicz, Witold, and Reinhard, P.-G. Mon . "Particle-Number Projection and the Density Functional Theory". United States. doi:10.1103/PhysRevC.76.054315.
@article{osti_932099,
title = {Particle-Number Projection and the Density Functional Theory},
author = {Dobaczewski, J. and Stoitsov, Mario and Nazarewicz, Witold and Reinhard, P.-G.},
abstractNote = {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.},
doi = {10.1103/PhysRevC.76.054315},
journal = {Physical Review C},
number = 5,
volume = 76,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}