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Quantum theory of the electron liquid
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ISBN: 9780511619915 9780521821124 9780521527965 051161991X 9780511410260 0511410263 0521821126 0521821126 0521527961 1107174457 1281717398 9786611717391 0511409729 0511408390 0511407629 0511409206 Year: 2005 Publisher: Cambridge Cambridge University Press

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Abstract

Modern electronic devices and novel materials often derive their extraordinary properties from the intriguing, complex behavior of large numbers of electrons forming what is known as an electron liquid. This book provides an in-depth introduction to the physics of the interacting electron liquid in a broad variety of systems, including metals, semiconductors, artificial nano-structures, atoms and molecules. One, two and three dimensional systems are treated separately and in parallel. Different phases of the electron liquid, from the Landau Fermi liquid to the Wigner crystal, from the Luttinger liquid to the quantum Hall liquid are extensively discussed. Both static and time-dependent density functional theory are presented in detail. Although the emphasis is on the development of the basic physical ideas and on a critical discussion of the most useful approximations, the formal derivation of the results is highly detailed and based on the simplest, most direct methods.

Electronic structure calculations for solids and molecules
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ISBN: 9780521815918 0521815916 9780511755613 9780511648311 0511648316 0511190875 9780511190872 0511190557 9780511190551 0511189915 9780511189913 0511755619 051156175X 9780511561757 1107159229 Year: 2006 Publisher: Cambridge Cambridge University Press

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Abstract

Electronic structure problems are studied in condensed matter physics and theoretical chemistry to provide important insights into the properties of matter. This 2006 graduate textbook describes the main theoretical approaches and computational techniques, from the simplest approximations to the most sophisticated methods. It starts with a detailed description of the various theoretical approaches to calculating the electronic structure of solids and molecules, including density-functional theory and chemical methods based on Hartree-Fock theory. The basic approximations are thoroughly discussed, and an in-depth overview of recent advances and alternative approaches in DFT is given. The second part discusses the different practical methods used to solve the electronic structure problem computationally, for both DFT and Hartree-Fock approaches. Adopting a unique and open approach, this textbook is aimed at graduate students in physics and chemistry, and is intended to improve communication between these communities. It also serves as a reference for researchers entering the field.

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