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008 110214s2011 gw | s |||| 0|eng d
020 _a9783642140907
_9978-3-642-14090-7
040 _cMX-MeUAM
050 4 _aQC170-197
050 4 _aQC717.6-718.8
082 0 4 _a539
_223
100 1 _aEngel, Eberhard.
_eauthor.
245 1 0 _aDensity Functional Theory
_h[recurso electrónico] :
_bAn Advanced Course /
_cby Eberhard Engel, Reiner M. Dreizler.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2011.
300 _aXV, 531 p. 5 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTheoretical and Mathematical Physics,
_x1864-5879
505 0 _aIntroduction -- Foundations of Density Functional Theory: Existence Theorems -- Effective Single-Particle Equations -- Exchange-Correlation Energy Functional -- Virial Theorems -- Orbital Functionals: Optimized Potential Method -- Time-Dependent Density Functional Theory -- Relativistic Density Functional Theory -- Further Reading -- Appendices: Functionals and the Functional Derivative -- Second Quantization in Many-Body Theory -- Scaling Behavior of Many-Body Methods -- Explicit Density Functionals for the Kinetic Energy: Thomas-Fermi Models and Beyond -- Asymptotic Behavior of Quasi-Particle Amplitudes -- Quantization of Noninteracting Fermions in Relativistic Quantum Field Theory -- Renormalization Scheme of Vacuum QED -- Relativistic Homogeneous Electron Gas -- Renormalization of Inhomogeneous Electron Gas -- Gradient Corrections to the Relativistic LDA -- Gordon Decomposition -- Some Useful Formulae -- Index.
520 _aDensity Functional Theory (DFT) has firmly established itself as the workhorse for the atomic-level simulation of condensed matter phases, pure or composite materials and quantum chemical systems. The present book is a rigorous and detailed introduction to the foundations up to and including such advanced topics as orbital-dependent functionals and both time-dependent and relativistic DFT. Given the many ramifications of contemporary DFT, this text concentrates on the self-contained presentation of the basics of the most widely used DFT variants. This implies a thorough discussion of the corresponding existence theorems and effective single particle equations, as well as of key approximations utilized in implementations. The formal results are complemented by selected quantitative results, which primarily aim at illustrating strengths and weaknesses of a particular approach or functional. DFT for superconducting or nuclear and hadronic systems are not addressed in this work. The structure and material contained in this book allow for a tutorial and modular self-study approach: the reader will find that all concepts of many-body theory which are indispensable for the discussion of DFT - such as the single-particle Green’s function or response functions - are introduced step by step, rather than just used. The same applies to some basic notions of solid state theory, as, for instance, the Fermi surface. Also, the language of second quantization is introduced systematically in an Appendix for readers without a formal theoretical physics background.
650 0 _aPhysics.
650 0 _aChemistry.
650 0 _aMaterials.
650 1 4 _aPhysics.
650 2 4 _aAtomic, Molecular, Optical and Plasma Physics.
650 2 4 _aTheoretical and Computational Chemistry.
650 2 4 _aNumerical and Computational Physics.
650 2 4 _aCondensed Matter Physics.
650 2 4 _aMaterials Science, general.
700 1 _aDreizler, Reiner M.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642140891
830 0 _aTheoretical and Mathematical Physics,
_x1864-5879
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-14090-7
596 _a19
942 _cLIBRO_ELEC
999 _c202552
_d202552