Abstract
The consept of self-energy figures prominently in the studies of interacting quantum many-particle systems. This quantity is generally defined in terms of the energy change that accompanies the addition of a single particle to the interacting system and incorporates exactly the effects of correlation and the statistics, Fermi-Dirac or Bose-Einstein. The single-particle self-energy is non-local, generally complex, and also energy-dependent. Its evaluation is ususally associated with various approximate, perturbative or decoupling, schemes as described1,2 in the literature.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Alexander L. Fetter and John Dirk Wallecka, Quantum Theory of Many-Particle Systems,McGraw-Hill, New York (1971).
N. H. March, W. H. Young, and S. Sampanthar, The Many-Body Problem in Quantum Mechanic, Cambridge University Press, Cambridge (1967).
R. M. Dreitzler and E. K. U. Gross, Density Functional Theory, Springer-Verlag, Berlin, New York (1990).
V. L. Moruzzi, J. F. Janak, and A. R. Williams, Calculated Electronic Properties of Metals,Pergamon, New York (1978).
E. K. U. Gross and E. Runge, Vielteilchentheorie, Teubner, Stuttgart, (1986).
Tomokazu Kato, Tetsuro Kobayashi, and Mikio Namiki, Supplement of the Progress of Theoretical Physics, (Japan), No. 15, (1960).
The DOS shown in the upper panel of the figure was reported earlier in connection with the generalization of DFT to two-particle states in A. Gonis, T. C. Schulthess, J. van Ek, and P. E. A. Turchi, Phys. Rev. Lett. 77, 2981 (1996).
The case of a non-uniform but periodic system can be formulated through the extension of scalar quantities to matrices.
A. Gonis, T. C. Schulthess, P. E. A. Turchi, and J. van Ek, Phys. Rev. B 56, 9335 (1997-I).
M. Springer, F. Aryasetiawan, and K. Karlsson, Phys. Rev. Lett. 80, 2389 (1998).
W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).
R. G. Par and Yang, Density Functional Theory of Atoms and Molecules, Oxford University Press, Oxford (1989).
The exact interparticle interaction in a many-electron system is given by the correlated density, n(r,r’), rather than the product of two-single-particle densities.
Thomas Muir, Treatise on the Theory of Determinants, Dover, New York (1960).
P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).
C. Calandra and F. Mangi, Phys. Rev. B 50, 2061 (1994).
Paul Ziesche, Physics Letters A 195, 213 (1994), and this volume.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media New York
About this chapter
Cite this chapter
Gonis, A., Schulthess, T.C., Turchi, P.E.A. (1999). The Two-Particle Picture and Electronic Structure Calculations. In: Gonis, A., Kioussis, N., Ciftan, M. (eds) Electron Correlations and Materials Properties. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4715-0_23
Download citation
DOI: https://doi.org/10.1007/978-1-4615-4715-0_23
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7136-6
Online ISBN: 978-1-4615-4715-0
eBook Packages: Springer Book Archive