Electronic Structure Calculations for Solids and Molecules: Theory and Computational Methods

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Cambridge University Press, Jun 29, 2006 - Science
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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Contents

Section 1
3
Section 2
13
Section 3
15
Section 4
18
Section 5
28
Section 6
51
Section 7
67
Section 8
75
Section 12
143
Section 13
148
Section 14
162
Section 15
172
Section 16
176
Section 17
178
Section 18
217
Section 19
270

Section 9
78
Section 10
123
Section 11
131
Section 20
311
Section 21
323

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Page 308 - A hybrid method for solutes in complex solvents: Density functional theory combined with empirical force fields, J.
Page 215 - Ab initio multicenter tight-binding model for molecular dynamics simulations and other applications in covalent systems.
Page 27 - S & van Nieuwenhuizen, P. 1975 Phys. Rev. D 10, 401, 411. Dolan, L. & Jackiw, R. 1974 Phys. Rev. D 9, 3320. Drummond, IT 1975 Nucl. Phys. B 94, 115. Fetter, AL & Walecka, JD 1971 Quantum theory of many-particle systems. New York: McGraw-Hill. Feynman, RP 1949 Phys. Rev. 76, 749. Feynman, RP 1974 Statistical Mechanics, Menlo Park, California: Benjamin and Co. Frenkel, J. 1948 Kinetic theory of liquids, London: Oxford University Press. Fulling, SA & Christensen, S. 1976 Trace anomalies and the Hawking...
Page 119 - Climbing the density functional ladder: Nonempirical meta-generalized gradient approximation designed for molecules and solids, Phys. Rev. Lett. 91, 146401 (1991).
Page 114 - First-principles calculations of the electronic structure and spectra of strongly correlated systems: the LDA+f/ method, J.
Page 176 - M. (1982). Pseudopotentials that work: from H to Pu. Phys. Rev. B 26, 4199-4228.
Page 267 - A method for two-electron Gaussian integral and integral derivative evaluation using recurrence relations.

About the author (2006)

Jorge Kohanoff is Reader in Applied Mathematics and Theoretical Physics at Queen's University Belfast. He has contributed to computational methods and applications in electronic structure, statistical mechanics and Car-Parrinello molecular dynamics simulations.

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