Advertisement

Perturbative Methods in Many-Body Problems

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

Abstract

The objective of this chapter is to show how the perturbative methods, elaborated for the calculation of the scattering operator with the help of Feynman diagrams, can equally be applied to many-body problems. We limit ourselves here to the principal ideas and several applications. The appropriate quantities submitted to perturbative calculations are called the Green functions of the many-body problem. They generalize, in a natural mariner, the concept of a causal or chronological operator, introduced in Sects. 9.3.1 and 9.3.4.

Keywords

Green Function Reduce Density Matrix Perturbation Series Perturbative Method Finite Result 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

Green Function Methods

  1. A. A. Abrikosov, L. P. Gorkov, I. E. Dzyaloshinski, Methods of quantum field theory in statistical physics, Prentice Hall, 1963.Google Scholar
  2. T. D. Schultz, Quantum field theory and the many-body problem, Gordon and Breach, 1964.Google Scholar
  3. D. A. Kirzhnits, Field theoretical methods in many-body systems, Perga-mon, 1967.Google Scholar
  4. E. N. Economou, Green’s functions in quantum physics, Springer, 1979.Google Scholar
  5. G. Rickayzen, Green’s functions and condensed matter. Academic Press, 1980.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Philippe A. Martin
    • 1
  • François Rothen
    • 2
  1. 1.Institute for Theoretical PhysicsSwiss Federal Institute for TechnologyLausanneSwitzerland
  2. 2.Institute of Condensed Matter PhysicsUniversity of LausanneLausanneSwitzerland

Personalised recommendations