Real-space density-matrix description of dynamic correlations in the optical response of many-electron systems

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Axt, Vollrath Martin ; Mukamel, Shaul:
Real-space density-matrix description of dynamic correlations in the optical response of many-electron systems.
In: Moloney, Jerome V. (Hrsg.): Nonlinear Optical Materials. - Berlin ; New York : Springer , 1998 . - S. 33-47 . - (The IMA Volumes in Mathematics and its Applications ; 101 )
ISBN 0-387-98581-6
DOI: https://doi.org/10.1007/978-1-4612-1714-5_2

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Abstract

A real-space formulation of the Quantum Bogolyubov-Born-Green-Kirkwood-Yvon (QBBGKY)-hierarchy is worked out in a form particularly suitable for applications to the optical response of many-electron systems. Comparison is made to Coupled-Cluster approaches. A new hierarchy of contraction-free correlation functions is presented, that overcomes the problem of violated trace relations inherent in the truncated QBBGKY-hierarchy.