Many-body methods

Yeager, D. L. in Applied Many-Body Methods in Spectroscopy and Electronic Structure, Miikheijee, D., ed. (Plenum Press, New Yorl 1992), pp. 133-161,... 

Analytic or semi-analytic many-body methods provide an independent estimate of ec( .>0- Before the Diffusion Monte Carlo work, the best calculation was probably that of Singwi, Sjblander, Tosi and Land (SSTL) [38] which was parametrized by Hedin and Lundqvist (HL) [39] and chosen as the = 0 limit of Moruzzi, Janak and Williams (MJW) [40]. Table I shows that HL agrees within 4 millihartrees with PW92. A more recent calculation along the same lines, but with a more sophisticated exchange-correlation kernel [42], agrees with PW92 to better than 1 millihartree. 

Paldus, J. Pylypow, L. Jeziorski, B. In Many-Body Methods in Quantum Chemistry Kaldor, U., Ed. Lecture Notes in Chemistry, Vol. 52 Springer Berlin, 1989 pp. 151-170. 

H.M. Quiney, I.P. Grant and S. Wilson, 1989, in Many-Body Methods in Quantum Chemistry, ed. U Kaldor, Lecture Notes in Chemistry 52 307, Springer Verlag, Berlin. 

In order to facilitate a direct comparison with other relativistic many-body methods as the RHF approach and the Moller-Plesset perturbation expansion [30] we now reduce... 

Quantum Systems in Chemistry and Physics is a broad area of science in which scientists of different extractions and aims jointly place special emphasis on quantum theory. Several topics were presented in the sessions of the symposia, namely 1 Density matrices and density functionals 2 Electron correlation effects (many-body methods and configuration interactions) 3 Relativistic formulations 4 Valence theory (chemical bonds and bond breaking) 5 Nuclear motion (vibronic effects and flexible molecules) 6 Response theory (properties and spectra atoms and molecules in strong electric and magnetic fields) 7 Condensed matter (crystals, clusters, surfaces and interfaces) 8 Reactive collisions and chemical reactions, and 9 Computational chemistry and physics. 

Comparison with Other Many-Body Methods... 

K. F. Freed, Tests and applications of complete model space quasidegenerate many-body perturbation theory for molecules, in Many-Body Methods in Quantum Chemistry (U. Kaldor, ed.), Springer, Berlin, 1989, p. 1. 

Hirata, S., Yagi, K. Predictive electronic and vibrational many-body methods for molecules and macromolecules. Chem. Phys. Lett. 2008, 464, 123-34. 

Electron Correlation Effects Many-Body Methods and Configuration Interaction... 

Electron correlation effects—Many-body methods and configuration interaction... 

Shavitt and R. J. Bartlett, Many-Body Methods in Quantum Chemistry (Cambridge University Press, Cambridge, 2005), in press. 

Modern many-body methods have become sufficiently refined that the major source of error in most ab initio calculations of molecular properties is today associated with truncation of one-particle basis sets e.g. [1]- [4]) that is, with the accuracy with which the algebraic approximation is implemented. The importance of generating systematic sequences of basis sets capable of controlling basis set truncation error has been emphasized repeatedly in the literature (see [4] and references therein). The study of the convergence of atomic and molecular structure calculations with respect to basis set extension is highly desirable. It allows examination of the convergence of calculations with respect to basis set size and the estimation of the results that would be obtained from complete basis set calculations. 

Salter EA, Trucks GW, Bartlett RJ (1989) Analytic energy derivatives in many-body methods. I. First derivatives. J Chem Phys 90 1752-1766... 

Jeziorski B, Moszynski R, Rybak S, Szalewicz K (1989) Many-body theory of van der waals interactions. In Kaldor U (ed) Many-body methods in quantum chemistry, volume 52 of Lecture Notes in Chemistry, Springer, New York, pp 65-95... 

Stanton JF (1993) Many-body methods for excited state potential energy surfaces I. General theory of energy gradients for the equation-of-motion coupled-cluster method. J Chem Phys 99 8840-8847. 

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