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Cambridge University Press eBooks

Linear Response Theory and Green’s Functions

Michael G Cottam, Zahra Haghshenasfard

Published Jul 14, 2020• 0 citations
Publisher
DOI
10.1017/9781108762366.007

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Many-Electron Green Function

F. Aryasetiawan, Fredrik Nilsson

In this chapter, a summary of the main properties of the many-electron Green function, which is a central quantity in many-electron theory, is given. The physical interpretation of the Green function and its connection to the experiment are described. Hedin's equations as a set of iterative equations determining the self-energy, and hence the Green function, are derived. Linear response theory and the screened interaction underlying the self-energy formalism are elucidated in detail. Finally, we also describe the thermal (Matsubara) Green function that can be used to describe systems at finite temperatures.

•Aug 3, 2022•0 citations
In this chapter, a summary of the main properties of the many-electron Green function, which is a central quantity in many-electron theory, is given. The physical interpretation of the Green function and its connection to the experiment are described. Hedin's equations as a set of iterative equations determining the self-energy, and hence the Green function, are derived. Linear response theory and the screened interaction underlying the self-energy formalism are elucidated in detail. Finally, we also describe the thermal (Matsubara) Green function that can be used to describe systems at finite temperatures.