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

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