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Phys. Rev. C 76, 054315 (2007) [16 pages]

Particle-number projection and the density functional theory

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J. Dobaczewski1,2,3,4,5, M. V. Stoitsov1,2,3,6, W. Nazarewicz1,2,7, and P.-G. Reinhard3,8
1Department of Physics & Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
2Physics Division, Oak Ridge National Laboratory, P. O. Box 2008, Oak Ridge, Tennessee 37831, USA
3Joint Institute for Heavy-Ion Research, Oak Ridge, Tennessee 37831, USA
4Institute of Theoretical Physics, Warsaw University, ul. Hoża 69, PL-00681 Warsaw, Poland
5Department of Physics, P. O. Box 35 (YFL), FI-40014, University of Jyväskylä, Finland
6Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia-1784, Bulgaria
7Institute of Theoretical Physics, Warsaw University, ul. Hoża 69, PL-00681 Warsaw, Poland
8Institut für Theoretische Physik, Universität Erlangen, Staudtstrasse 7, D-91058 Erlangen, Germany

Received 6 August 2007; published 20 November 2007

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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.76.054315
DOI:
10.1103/PhysRevC.76.054315
PACS:
21.60.Jz, 21.10.Dr, 31.15.Ew, 74.20.-z
 
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