Second-order response Bethe-Salpeter equation

TitleSecond-order response Bethe-Salpeter equation
Publication TypePalaiseau Article
Acknowledgements

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DOI10.1103/PhysRevA.83.062122
Hübener, H
Year of Publication2011
JournalPhys. Rev. A
Volume83
URLhttp://pra.aps.org/abstract/PRA/v83/i6/e062122
Keywordspaper, theory
Abstract

A Bethe-Salpeter equation for the three-particle correlation function is derived, representing a second-order response generalization of the usual Bethe-Salpeter equation. The equation can be solved formally, giving the three-particle correlation function in terms of the two-particle correlation function and many-body interaction kernels. The similarity to second-order response time-dependent density-functional theory can be used to improve the understanding of the higher-order exchange and correlation kernels of this theory. An exact expression for such a kernel is derived.

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