Titlebook: Density Functional Theory; An Advanced Course Eberhard Engel,Reiner M. Dreizler Book 2011 Springer-Verlag Berlin Heidelberg 2011 Density Fu

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Foundations of Density Functional Theory: Existence Theorems,The starting point of any discussion of DFT is the Hohenberg-Kohn (HK) theorem [6]. It represents the most basic of a number of existence theorems which ensure that stationary many-particle systems can be characterized (fully) by the ground state density and closely related quantities.

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Effective Single-Particle Equations,Let us return to the simplest situation considered so far, i.e. to a Hamiltonian of type (2.1) with a non-degenerate ground state. For this system the Hohenberg-Kohn theorem states that knowledge of the ground state density is sufficient to determine all ground state observables.

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Virial Theorems,Virial theorems are derived by considering the behavior of all relevant quantities

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Time-Dependent Density Functional Theory,Time-dependent density functional theory (TDDFT) has developed rapidly since its beginnings in 1984 [472, 473].

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Relativistic Density Functional Theory,Given the success of nonrelativistic DFT, the question concerning a suitable relativistic extension arises quite naturally.

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Datierungsfragen der griechischen Trag?dies comprise single atoms, the most elementary building blocks of ordinary matter, all kinds of molecules, ranging from dimers to proteins, as well as mesoscopic systems, for example clusters or quantum dots, and solids, including layered structures, surfaces and quasi-crystals.