Perturbative Methods in Many-Body Problems

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


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.


Green Function Dielectric Function Reduce Density Matrix Perturbation Series Perturbative Method 
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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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