Perturbative Methods in Many-Body Problems
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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.
KeywordsGreen Function Reduce Density Matrix Perturbation Series Perturbative Method Finite Result
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Green Function Methods
- A. A. Abrikosov, L. P. Gorkov, I. E. Dzyaloshinski, Methods of quantum field theory in statistical physics, Prentice Hall, 1963.Google Scholar
- T. D. Schultz, Quantum field theory and the many-body problem, Gordon and Breach, 1964.Google Scholar
- D. A. Kirzhnits, Field theoretical methods in many-body systems, Perga-mon, 1967.Google Scholar
- E. N. Economou, Green’s functions in quantum physics, Springer, 1979.Google Scholar
- G. Rickayzen, Green’s functions and condensed matter. Academic Press, 1980.Google Scholar