TY - JOUR KW - Bethe-Salpeter equation KW - density functional theory KW - many-body problems AU - Davide Sangalli AU - P. Romaniello AU - G Onida AU - Andrea Marini AB - A coherent approach to the description of double excitations in correlated materials is presented: We derive stringent mathematical conditions on the algebraical structure of the Bethe\textendashSalpeter and time-dependent density functional theory kernels that avoid the occurrence of spurious and nonphysical excitations. We discuss how these conditions need to be respected at any level of approximation, including the commonly used local density and static screening approximations. We propose a correlated kernel for the Bethe\textendashSalpeter equation, and we illustrate several aspects of our approach with numerical calculations for model molecular systems. BT - J. Chem. Phys. DO - 10.1063/1.3518705 N2 - A coherent approach to the description of double excitations in correlated materials is presented: We derive stringent mathematical conditions on the algebraical structure of the Bethe\textendashSalpeter and time-dependent density functional theory kernels that avoid the occurrence of spurious and nonphysical excitations. We discuss how these conditions need to be respected at any level of approximation, including the commonly used local density and static screening approximations. We propose a correlated kernel for the Bethe\textendashSalpeter equation, and we illustrate several aspects of our approach with numerical calculations for model molecular systems. PY - 2011 T2 - J. Chem. Phys. TI - Double excitations in correlated systems: A many\textendashbody approach UR - http://jcp.aip.org/resource/1/jcpsa6/v134/i3/p034115_s1 VL - 134, 034115 ER -