06414nam 22007335 450 991078921770332120200702201501.03-642-86105-910.1007/978-3-642-86105-5(CKB)3400000000109602(SSID)ssj0001241890(PQKBManifestationID)11801621(PQKBTitleCode)TC0001241890(PQKBWorkID)11253406(PQKB)10132187(DE-He213)978-3-642-86105-5(MiAaPQ)EBC3098234(PPN)237910268(EXLCZ)99340000000010960220121227d1990 u| 0engurnn#|||mamaatxtccrDensity Functional Theory[electronic resource] An Approach to the Quantum Many-Body Problem /by Reiner M. Dreizler, Eberhard K.U. Gross1st ed. 1990.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1990.1 online resource (XI, 304 p.)Bibliographic Level Mode of Issuance: Monograph3-540-51993-9 3-642-86107-5 Includes bibliographical references and index.1. Introduction -- 2. Basic Formalism for Stationary Non-Relativistic Systems -- 2.1 The Hohenberg-Kohn Theorem -- 2.2 Degenerate Groundstates -- 2.3 v-Representability and Related Questions -- 2.4 Fractional Particle Number, Chemical Potential, and Derivative Discontinuities -- 3. Extensions -- 3.1 Spin-Polarised Systems -- 3.2 Finite Temperature Ensembles -- 3.3 Multicomponent Systems -- 3.4 Hartree-Fock Limit -- 3.5 Excited States -- 3.6 Density Matrix Functionals -- 3.7 Momentum Space -- 3.8 Bose Systems -- 3.9 Superconducting Systems -- 4. The Kohn-Sham Scheme -- 4.1 The Basic Kohn-Sham Equations -- 4.2 Degenerate Kohn-Sham Groundstates and the Question of v-Representability -- 4.3 Spin-Polarised Systems -- 4.4 Fractional Occupation, Janak’s Theorem, and the Slater Transition State -- 4.5 Excited States: The Kohn-Sham Scheme for Ensembles -- 4.6 Schrödinger Equation for the Square Root of the Groundstate Density -- 4.7 Hellmann-Feynman, Virial, and Scaling Properties of Density Functionals -- 4.8 Single-Particle Equations for Superconductors: A Generalized Bogoliubov-deGennes Scheme -- 5. Explicit Functionals I: Kinetic and Exchange Energy Functionals Derived from the One-Particle Density Matrix -- 5.1 Density-Gradient Expansions from Semiclassical Expansions: A Survey -- 5.2 The Kirzhnits Method -- 5.3 The Wigner-Kirkwood Approach and Partial Resummation of the Gradient Expansion -- 5.4 Empirical Convergence Studies of the Gradient Expansion -- 5.5 Original von Weizsäcker Functional Versus Gradient Expansion -- 5.6 Padé Approximants and Other Parametrisations -- 5.7 Phase-Space Approach Based on Local Thermodynamics -- 5.8 The Classical Density Functional Models of Thomas, Fermi, Dirac, and von Weizsäcker -- 6. Many-Body Perturbation Theory -- 6.1 Diagrammatic Approach to the Inhomogeneous Electron Gas -- 6.2 The Exchange-Correlation Functional Expressed in Terms of the Irreducible Self-Energy -- 6.3 The Band Gap in Insulators and Semiconductors -- 6.4 The Fermi Surface in Metals -- 6.5 The Homogeneous Electron Gas -- 7. Explicit Functionals II: The Local Density Approximation and Beyond -- 7.1 The Local Density Approximation -- 7.2 Discussion of the Local Density Approximation -- 7.3 Nonlocal Density Schemes -- 7.4 Self-Interaction Corrections -- 7.5 Wave Vector Analysis -- 7.6 Gradient Corrections -- 7.7 Kohn-Sham Results for Atoms and Molecules -- 8. Density Functional Theory of Relativistic Systems -- 8.1 Introduction -- 8.2 Existence Theorems -- 8.3 Explicit Functionals I: The Relativistic Kirzhnits Expansion -- 8.4 The Homogeneous Relativistic Electron Gas -- 8.5 Explicit Functionals II: The Local Density Approximation -- 8.6 Remarks and Applications -- A. Definition of Density Matrices, Green’s Functions, and Correlation Functions -- B. Compilation of Literature on Atomic and Molecular Kohn-Sham Results -- References.Density Functional Theory is a rapidly developing branch of many-particle physics that has found applications in atomic, molecular, solid-state and nuclear physics. This book describes the conceptual framework of density functional theory and discusses in detail the derivation of explicit functionals from first principles as well as their application to Coulomb systems. Both non-relativistic and relativistic systems are treated. The connection of density functional theory with other many-body methods is highlighted. The presentation is self-contained; the book is, thus, well suited for a graduate course on density functional theory.Mathematical physicsChemistry, Physical and theoreticalCondensed matterAtomsPhysicsQuantum physicsTheoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Theoretical and Computational Chemistryhttps://scigraph.springernature.com/ontologies/product-market-codes/C25007Condensed Matter Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P25005Atomic, Molecular, Optical and Plasma Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P24009Quantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Mathematical physics.Chemistry, Physical and theoretical.Condensed matter.Atoms.Physics.Quantum physics.Theoretical, Mathematical and Computational Physics.Theoretical and Computational Chemistry.Condensed Matter Physics.Atomic, Molecular, Optical and Plasma Physics.Quantum Physics.530.1Dreizler Reiner Mauthttp://id.loc.gov/vocabulary/relators/aut23014Gross Eberhard K.Uauthttp://id.loc.gov/vocabulary/relators/autBOOK9910789217703321Density Functional Theory328393UNINA03134nam 2200613 a 450 991083005550332120230421044551.01-282-34786-197866123478630-470-51449-30-470-51450-7(CKB)1000000000377247(EBL)470414(OCoLC)609849281(SSID)ssj0000305301(PQKBManifestationID)11259792(PQKBTitleCode)TC0000305301(PQKBWorkID)10286161(PQKB)11671348(MiAaPQ)EBC470414(EXLCZ)99100000000037724719930719d1993 uy 0engur|n|---|||||txtccrThe origins and development of high ability[electronic resource]Chichester, West Sussex ;New York Wiley19931 online resource (269 p.)Ciba Foundation symposium ;178Proceedings of the Symposium on the Origins and Development of High Ability, held at the Ciba Foundation, London, Jan. 25, 1993."A Wiley-Interscience publication."0-471-93945-5 Includes bibliographical references and indexes.THE ORIGINS AND DEVELOPMENT OF HIGH ABILITY; Contents; Participants; Introducti on; The concept of 'giftedness':a pentagonal implicit theory; Giftedness and intelligence:one and the same?; Psychological profiles of the mathematically talented: some sex differences and evidence supporting their biological basis; Genetics and high cognitive ability; The early lives of child prodigies; Musical ability; Boys and girls who reason well mathematically; Scientific ability; Mechanical i nventiveness:a three-phase study; The relationship between early giftedness and later achievementFamily influences on the development of giftednessAccelerating language acquisition; Can we create gifted people?; Closing remarks; Index of contributors; Subject indexWritten for psychologists, educational psychologists and developmental biologists, this volume explores the concept of giftedness, including its definition, origins and development. The author offers a balanced view of the topic and presents optimal educational strategies for various kinds of high ability. The effects of both environmental and biological/genetic factors on a student's level of giftedness are also discussed, as is the question of whether gifted people can be created.Ciba Foundation symposium ;178.Gifted personsCongressesGifted childrenCongressesGifted personsGifted children153.9153.98155.45Symposium on the Origins and Development of High Ability(1993 :Ciba Foundation)MiAaPQMiAaPQMiAaPQBOOK9910830055503321The origins and development of high ability4087608UNINA