ENGLISH

Operator expectation values, self-energies, cutting rules, and higher-order processes

By Danielewicz P.

Book information

Year
1990
Language
english
Format
DJVU
Filesize
436 kB (446383 bytes)
Series
Ann Phys.197 p154
Pages
48\48
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

Description

The high-order structure of diagrammatic expansion in real-time many-body theory is examined. The existence of cutting rules is demonstrated for diagrams that can correspond to the expectation values of operator products, self-energies, etc. The rules permit one to express these quantities, as convolutions of retarded amplitudes with the Green's functions corresponding to densities, extending over the past of a many-body system. The quasiparticle limit of the results is discussed. As an example, the resummation is carried over the repeated interactions between excitations in a medium, for the self-energies that correspond to single- particle absorption and production rates. The imaginary nucleon optical potential, that is used in nuclear physics, is identical with the combination of the rates. Further, the formulae for the absorption and production rates of collective excitations are derived.

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