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What ab-initio Quantum Chemistry (AIQC) and Density Functional Theory (DFT) can learn from each other

Starting from the common origin of AIQC and DFT, differences between AIQC and DFT are analyzed. The respective advantages and drawbacks of the two classes of methods are pointed out. A chain of approximations is presented that starts from genuine DFT, where the entire internal energy is treated as an unknown functional of the density, via Kohn-Sham type theories, orbital functional theories, and density matrix functional theory to a rigorous n-electron theory. On this way the dependence on an unknown functional is gradually reduced, while the information content of the parametrization of the state is increased. Particular attention is payed to formulations of the n-electron problem in terms of the 2-particle density matrix or rather the one-particle density matrix and the two-particle cumulant

Universitat de Girona. Departament de Química

Universitat de Girona. Institut de Química Computacional

Author: Kutzelnigg, Werner
Date: 2010 July 8
Abstract: Starting from the common origin of AIQC and DFT, differences between AIQC and DFT are analyzed. The respective advantages and drawbacks of the two classes of methods are pointed out. A chain of approximations is presented that starts from genuine DFT, where the entire internal energy is treated as an unknown functional of the density, via Kohn-Sham type theories, orbital functional theories, and density matrix functional theory to a rigorous n-electron theory. On this way the dependence on an unknown functional is gradually reduced, while the information content of the parametrization of the state is increased. Particular attention is payed to formulations of the n-electron problem in terms of the 2-particle density matrix or rather the one-particle density matrix and the two-particle cumulant
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Citation: Kutzelnigg, W. (2010). What ab-initio Quantum Chemistry (AIQC) and Density Functional Theory (DFT) can learn from each other. A ’IX Girona Seminar’. Girona: Universitat. [Consulta 7 setembre 2010]. Disponible a: http://hdl.handle.net/10256.1/1730
Document access: http://hdl.handle.net/10256.1/1730
Language: eng
Publisher: Universitat de Girona. Departament de Química
Universitat de Girona. Institut de Química Computacional
Collection: IX Girona Seminar
Rights: Aquest document està subjecte a una llicència Creative Commons: Reconeixement - No comercial - Compartir igual (by-nc-sa)
Rights URI: http://creativecommons.org/licenses/by-nc-sa/3.0/es/deed.ca
Subject: Química quàntica -- Congressos
Quantum chemistry -- Congresses
Title: What ab-initio Quantum Chemistry (AIQC) and Density Functional Theory (DFT) can learn from each other
Type: info:eu-repo/semantics/lecture
Repository: DUGiMedia

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