Electron correlations

• Basis optimization
• Perturbation theory
• Random phase approximation
• GW and many-body Green function methods
• Configuration interaction
• Coupled cluster methods
• Multireference methods
• Composite methods
• Reduced density matrix theories
• Density Matrix Renormalization Group
• Dynamical Mean Field Theory
• Quantum Monte Carlo
• Delta SCF method
• Projected methods
• Valence bond methods
• Explicitly correlated wave-function
• Machine learning methods
• see also QFT methods

Post-Hartree-Fock methods (Wikipedia)

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S Banerjee, A Sokolov, Algebraic Diagrammatic Construction Theory for Simulating Charged Excited States and Photoelectron Spectra, JCTC 19, 3037 (2023) – doi

E Pollak, R Martinazzo, Lower Bounds for Coulombic Systems, JCTC 17, 1535 (2021)

K T Williams, Y Yao, J Li etal, Direct Comparison of Many-Body Methods for Realistic Electronic Hamiltonians, PRX 10, 011041 (2020) – zip

S Grimme, A Hansen, A Practicable Real-Space Measure and Visualization of Static Electron-Correlation Effects, Angew Chem Int Ed 54, 1 (2015)