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- W4236634705 abstract "Coupled cluster theory provides hierarchical many-particle models and is presently considered as the ultimate benchmark in quantum chemistry. Despite its practical significance, a rigorous mathematical analysis of coupled cluster models is still in its infancy. The present work focuses on nonlinear models within the random phase approximation (RPA). Solutions of these models are commonly represented by series of a particular class of Goldstone diagrams so-called RPA diagrams. Using techniques from singular analysis, we provide a connection between RPA diagrams and classical pseudo-differential operators which enables an efficient treatment of the linear and nonlinear interactions in these models. Based on a detailed asymptotic analysis, we discuss the computational complexity of adaptive sparse grids approximation of RPA diagrams in the framework of best N-term approximation theory. In particular, we determine the Besov regularity of RPA-diagrams and provide corresponding convergence rates." @default.
- W4236634705 created "2022-05-12" @default.
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- W4236634705 date "2021-01-01" @default.
- W4236634705 modified "2023-10-16" @default.
- W4236634705 title "Sparse Grids Approximation of Goldstone Diagrams in Electronic Structure Calculations" @default.
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- W4236634705 doi "https://doi.org/10.1007/978-3-030-81362-8_2" @default.
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