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.
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References
Green Function Methods
A. A. Abrikosov, L. P. Gorkov, I. E. Dzyaloshinski, Methods of quantum field theory in statistical physics, Prentice Hall, 1963.
T. D. Schultz, Quantum field theory and the many-body problem, Gordon and Breach, 1964.
D. A. Kirzhnits, Field theoretical methods in many-body systems, Perga-mon, 1967.
E. N. Economou, Green’s functions in quantum physics, Springer, 1979.
G. Rickayzen, Green’s functions and condensed matter. Academic Press, 1980.
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© 2002 Springer-Verlag Berlin Heidelberg
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Martin, P.A., Rothen, F. (2002). Perturbative Methods in Many-Body Problems. In: Many-Body Problems and Quantum Field Theory. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04894-8_10
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DOI: https://doi.org/10.1007/978-3-662-04894-8_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-04896-2
Online ISBN: 978-3-662-04894-8
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