Quantum many-body theories

J. Cioslowski, Connected-moments expansion—a new tool for quantum many-body theory. Phys. Rev. Lett. 58, 83 (1987). 

A. Landan, E. Ehav, and U. Kaldor, Intermediate Hamiltonian Fock-Space Coupled-Cluster Method and Applications. In R. F. Bishop, T. Brandes, K. A. Gernoth, N. R. Walet, and Y. Xian (Eds.) Recent Progress in Many-Body Theories, Advances in Quantum Many-Body Theories, Vol. 6. (World Scientific, Singapore, 2002), pp. 355-364 and references therein. 

D. Mukherjee, Chem. Phys. Lett., 192 (1992) 55 S.H. Mandal, R. Ghosh, G. Sanyal and D. Mukherjee, A finite-temperature generalization of the coupled-cluster method A non-perturbative access to grand partition functions, in R.F. Bishop, T. Brandes, K.A. Gernoth, N.R. Walet, Y. Xian (Eds.), Recent progress in many-body theories. Advances in quantum many-body theories, Vol. 6, World Scientific Publishing, Singapore, 2002, pp. 383-392. 

Overall, the quantum many-body theory (i.e., the second quantizatimi of fields) and its chemical version as DFT may be regarded as the appropriate quantum tools. Quantum chemistry should be used in formulating and implementing the specific indicators of stability and reactivity, ammig which electronegativity and chemical hardness are the most preeminent and versatile. 

Of these schemes, quantum many-body theories implemented within the algebraic approximation (using finite basis set expansions) have come to dominate quantum chemistry over the past 50 years underpinning a systematic approach to the theoretical study of molecular electronic structure. 

Dreizier R M and Gross E K U 1990 Density Functional Theory an Approach to the Quantum Many-body Problem (Berlin Springer)... 

Dreizler, R.M. and Gross, E.K.U. 1990. Density Functional Theory An approach to the Quantum Many-Body Problem. Springer-Verlag, New York. 

Dreizler, R. M. Gross, E. K. U. Density Functional Theory An Approach to the Quantum Many-Body Problem Springer-Verlag Berlin, 1990. 

Dreizler RM, Gross EKU (1990) Density functional theory an approach to the quantum many-body problem. Springer, Berlin, Heidelberg New York... 

D. J. Thouless, The Quantum Mechanics of Many-Body Systems, Academic Press, New York, 1961 P. Nozieres, Le probleme a N corps, Dunod, Paris, 1963 and The Theory of Interacting Fermi Systems, Benjamin, New York, 1964 1. Lindgren and J. Morrison, Atomic Many-Body Theory, Springer, BerUn, 1982. 

The initial formulation of the theory of control of quantum many-body dynamics has been extended to include the following ... 

Unlike the AT-particle picture, which in principle leads naturally to the exact solution of the many-particle Schrodinger equation, the single-particle picture has led to the development of a number of different approximation schemes designed to address particular issues in the physics of interacting quantum systems. A particularly pointed example of this state of affairs is the strict dichotomy that has set in between so-called single-particle theories and canonical many-body theory[31, 32]. Each of the two methodologies can claim a number of successful applications, which tends to reinforce the perceived formal gap between them. 

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... 

It is to be emphasized that many-body theory is of interest for finite systems as well as infinite ones. First such techniques enable a greater range of finite systems to be treated. Moreover, with many-body techniques well in hand size-dependent errors in quantum-chemical computations should then too be well in hand. 

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