On the spectral relations for multitime correlation functions

Details On the spectral relations for multitime correlation functions On the spectral relations for multitime correlation functions

2006-04-27

arxiv.org/abs/cond-mat/0604621v1

Condens. Matter Phys. 9, 447 (2006)

Physics

Condensed Matter

Statistical Mechanics

12 pages, submitted to the special issue of the Condensed Matter Physics journal devoted to the Green's functions method

Scientific paper

A general approach for derivation of the spectral relations for the multitime correlation functions is presented. A special attention is paid to the consideration of the non-ergodic (conserving) contributions and it is shown that such contributions can be treated in a rigorous way using multitime temperature Green functions. Representation of the multitime Green functions in terms of the spectral densities and solution of the reverse problem -- finding of the spectral densities from the known Green functions are given for the case of the three-time correlation functions.

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