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- W2037860830 abstract "The methods of quantum chemistry and solid state theory to solve the many-body problem are reviewed. We start with the definitions of reduced density matrices, their properties (contraction sum rules, spectral resolutions, cumulant expansion, and N-representability), and their determining equations (contracted Schrödinger equations), and we summarize recent extensions and generalizations of the traditional quantum chemical methods, of the density functional theory, and of the quasiparticle theory: from finite to extended systems (incremental method), from density-to-density matrix (density matrix functional theory), from weak to strong correlation (dynamical mean field theory), from homogeneous (Kimball–Overhauser approach) to inhomogeneous and finite systems. Measures of the correlation strength are discussed. The cumulant two-body reduced density matrix proves to be a key quantity. Its spectral resolution contains geminals, possibly the solutions of an approximate effective two-body equation, and we sketch the idea of how its contraction sum rule can be used for a variational treatment. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2004" @default.
- W2037860830 created "2016-06-24" @default.
- W2037860830 creator A5027957301 @default.
- W2037860830 creator A5049910969 @default.
- W2037860830 date "2004-01-01" @default.
- W2037860830 modified "2023-09-26" @default.
- W2037860830 title "Methods for electronic-structure calculations: Overview from a reduced-density-matrix point of view" @default.
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