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This book is on approximation methods and applications of QDFT, a new local effective-potential-energy theory of electronic structure. Approximation methods incorporating different electron correlations, as well as many-body perturbation theory, are developed.

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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 five years, I realizedthat the goal was too ambitious, and that I would be writing for another five 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 first 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 first volume and stands on its own. However, proofs given in the first volume are not repeated here.

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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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