Quantal Density Functional Theory II: Approximation Methods and Applications

Author:   Viraht Sahni
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2009 ed.
ISBN:  

9783642425417


Pages:   426
Publication Date:   26 November 2014
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Quantal Density Functional Theory II: Approximation Methods and Applications


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Overview

In my original proposal to Springer for a book on Quantal Density Functional Theory, I had envisaged one that was as complete in its presentation as possible, describing the basic theory as well as the approximation methods and a host of applications. However,after workingon the bookforabout ?ve years, I realizedthat the goal was too ambitious, and that I would be writing for another ?ve years for it to be achieved. Fortunately,there was a natural breakin the material, and I proposed to my editor, Dr. Claus Ascheron, that we split the book into two components: the ?rst on the basic theoretical framework, and the second on approximation methods and applications. Dr. Ascheron consented, and I am thankful to him for agreeing to do so. Hence, we published Quantal Density Functional Theory in 2004, and are now publishing Quantal Density Functional Theory II: Approximation Methods and Applications. One signi?cant advantage of this, as it turns out, is that I have been able to incorporate in each volume the most recent understandings available. This volume, like the earlier one, is aimed at advanced undergraduates in physics and chemistry, graduate students and researchers in the ?eld. It is written in the same pedagogical style with details of all proofs and numerous ?gures provided to explain the physics. The book is independent of the ?rst volume and stands on its own. However, proofs given in the ?rst volume are not repeated here.

Full Product Details

Author:   Viraht Sahni
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2009 ed.
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   0.676kg
ISBN:  

9783642425417


ISBN 10:   3642425410
Pages:   426
Publication Date:   26 November 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Schr#x00F6;dinger Theory from a #x201C;Newtonian#x201D; Perspective.- Quantal Density Functional Theory.- New Perspectives on Hohenberg#x2013;Kohn#x2013;Sham Density Functional Theory.- Nonuniqueness of the Effective Potential Energy and Wave Function in Quantal Density Functional Theory.- Approximations Within Quantal Density Functional Theory.- Analytical Asymptotic Structure in the Classically Forbidden Region of Atoms.- Analytical Asymptotic Structure At and Near the Nucleus of Atoms.- Application of the Q-DFT Hartree Uncorrelated Approximation to Atoms.- Application of the Q-DFT Pauli Correlated Approximation to Atoms and Negative Ions.- Quantal Density Functional Theory of the Density Amplitude: Application to Atoms.- Application of the Irrotational Component Approximation to Nonspherical Density Atoms.- Application of Q-DFT to Atoms in Excited States.- Application of the Multi-Component Q-DFT Pauli Approximation to the Anion#x2013;Positron Complex: Energies, Positron and Positronium Affinities.- Application of the Q-DFT Fully Correlated Approximation to the Helium Atom.- Application of the Q-DFT Fully Correlated Approximation to the Hydrogen Molecule.- Application of Q-DFT to the Metal#x2013;Vacuum Interface.- Many-Body and Pseudo M#x00F8;ller-Plesset Perturbation Theory within Quantal Density Functional Theory.- Epilogue.

Reviews

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)


From the reviews: QDFT II possesses an even greater expansiveness and richness of explanation that many readers will find very agreeable. This book could serve two readerships. One would clearly be serious students and practitioners of density functional theories because QDFT II is replete with fresh ideas . The other type of readership could very well be beginning students of the subject. I recommended this volume to anyone with interests in or curiosities about density functional theories. (Steven M. Valone, Journal of the American Chemical Society, Vol. 132 (32), 2010)


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