Viraht Sahni

Quantal Density Functional Theory

• Broschiertes Buch

Produktbeschreibung

This book is on quantal density functional theory (QDFT) which is a time-dependent local effective potential theory of the electronic structure of matter. The time-independent QDFT constitutes a special case. The 2nd edition describes the further development of the theory, and extends it to include the presence of an external magnetostatic field. The theory is based on the 'quantal Newtonian' second and first laws for the individual electron. These laws are in terms of 'classical' fields that pervade all space, and their quantal sources. Thefields are separately representative of the electron correlations that must be accounted for in local potential theory. Recent developments show that irrespective of the type of external field the electrons are subject to, the only correlations beyond those due to the Pauli exclusion principle and Coulomb repulsion that need be considered are solely of the correlation-kinetic effects. Foundational to QDFT, the book describes Schrödinger theory from the new perspective of the single electron in terms of the 'quantal Newtonian' laws. Hohenberg-Kohn density functional theory (DFT), new understandings of the theory and its extension to the presence of an external uniform magnetostatic field are described. The physical interpretation via QDFT, in terms of electron correlations, of Kohn-Sham DFT, approximations to it and Slater theory are provided.

Produktdetails

• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-662-57039-5
• 2. Aufl.
• Seitenzahl: 436
• Erscheinungstermin: 12. Juni 2018
• Englisch
• Abmessung: 235mm x 155mm x 24mm
• Gewicht: 664g
• ISBN-13: 9783662570395
• ISBN-10: 3662570394
• Artikelnr.: 53574364

Autorenporträt

Inhaltsangabe

From the Contents: Schrödinger Theory from the Perspective of 'Classical' Fields Derived from Quantal Sources.- Quantal Density Functional Theory.- The Hohenberg-Kohn Theorems and Kohn-Sham Density Functional Theory.- Physical Interpretation of Kohn-Sham Density Functional Theory.- Generalization of the Hohenberg-Kohn Theorem to the Presence of a Magnetostatic Field.

Rezensionen

"Gives physical insight because it renders the many-fermion problem in as close to a classical mechanical and electrodynamical form as can be imagined... It is an interesting, unconventional, and useful contribution to the DFT literature. " -- INT. J. QUANTUM CHEM. "This book shows how in an entirely new way, it becomes plausible to use the wave function within the broad context of DFT, thus redirecting the present computational approach of attempting to approximate the presently unknown, and thus largely mysterious, HK energy functional of the density. The claim is that the simplicity of the equations of DFT is retained on the one hand, while on the other hand, ridding them of their mystery, as contained in the Kohn-Sham (KS) local potential ... The book describes all quantum systems, including atoms and molecules, in terms of the fields inherent to the systems deriving from their quantal sources. Indeed, an innovation of QDFT is to identify all such fields, and to explicitly write their dependence upon the various quantal sources. The result is a description of quantum chemistry that is as close to a classical description as one may imagine.... "All readers interested in how DFT fits within the larger theoretical structure of quantum theory will profit from this book. It marshals an effective argument for the existence of a specifically Q-DFT view of the density as cardinal object of quantum theory. To accept that argument in its entirety is to see Q-DFT as the fulfillment of the HK theorem promise, to turn the density into all the quantum properties of a chemical system. That in turn could lead to a conceptual and computational revolution within quantum chemistry, the like of which has not been seen since the original HK and KS papers of some 40 years ago." - J. CHEM. EDUCATION (L. Massa, CUNY)