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Perturbative Methods in Many-Body Problems

  • Philippe A. Martin
  • François Rothen
Chapter
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

The purpose of this chapter is to show how that the perturbative methods, already worked out for calculating the scattering operator using Feynman diagrams, can also be applied to many-body problems. We limit ourselves here to the principal ideas and several applications. The appropriate quantities on which the perturbative calculations should be performed are the Green functions of the many-body problem. They generalize, in a natural manner, the concept of a causal or time-ordering operator, introduced in Sects. 9.3.1 and 9.3.4.

Keywords

Green Function Dielectric Function Reduce Density Matrix Perturbation Series Perturbative Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliography

  1. T. D. Schultz, Quantum field theory and the many-body problem, Gordon and Breach, 1964.Google Scholar
  2. D. A. Kirzhnits, Field theoretical methods in many-body systems, Perga-mon, 1967.Google Scholar
  3. E. N. Economou, Green’s functions in quantum physics, Springer, 1979.Google Scholar
  4. G. Rickayzen, Green’s functions and condensed matter, Academic Press, 1980.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Philippe A. Martin
    • 1
  • François Rothen
    • 2
    • 3
  1. 1.Institute of Theoretical PhysicsSwiss Federal Institute of TechnologyLausanneSwitzerland
  2. 2.University of LausanneLausanneSwitzerland
  3. 3.Institute of Complex Matter PhysicsSwiss Federal Institute of TechnologyLausanneSwitzerland

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