Quantal Density Functional Theory - Sahni, Viraht

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Résumé :
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 2^nd 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 Schr?dinger 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....

Biographie:
Viraht Sahni received his Bachelor of Technology (Honors) degree in Electrical Engineering from the Indian Institute of Technology, Bombay, India, in 1965, his Master of Science in Electrical Engineering (1968) and his Doctor of Philosophy in Physics (1972) from the Polytechnic Institute of Brooklyn, New York, USA. He was a post-doctoral associate at Brooklyn College of the City University of New York (CUNY) from 1972-1974, when he joined Brooklyn College as Assistant Professor and Member of the doctoral faculty in Physics of the Graduate Centre of CUNY. He became (and is presently) Professor of Physics at Brooklyn College and the Graduate Centre of CUNY in 1982. He was Visiting Research Physicist at the National (now Kavli) Institute of Theoretical Physics, Santa Barbara, California, in 1983. He was appointed Broeklundian Professor of Physics at Brooklyn College from 2001-2011. His interests lie in the theoretical foundations of and applications to the electronic structure of matter, both natural and artificial. He has published three books on a newly developed theory of electronic structure: Quantal Density Functional Theory, Springer-Verlag, 2004...

Sommaire:
From the Contents: Schr?dinger 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....