05475nam 2200649 a 450 991081069580332120230607221454.0981-277-707-5(CKB)1000000000404123(EBL)1679517(OCoLC)879023697(SSID)ssj0000182746(PQKBManifestationID)11196814(PQKBTitleCode)TC0000182746(PQKBWorkID)10171879(PQKB)10180301(MiAaPQ)EBC1679517(WSP)00005023(Au-PeEL)EBL1679517(CaPaEBR)ebr10201164(CaONFJC)MIL505395(EXLCZ)99100000000040412320021125d2002 uy 0engur|n|---|||||txtccrIntroduction to modern methods of quantum many-body theory and their applications[electronic resource] /editors, Adelchi Fabrocini, Stefano Fantoni, Eckhard KrotscheckRiver Edge, NJ World Scientificc20021 online resource (428 p.)Series on advances in quantum many-body theory ;v. 7Lecture notes of the second European Summer School on Microscopic Quantum Many-Body Theories and their Applications, held in Miramare, Trieste, Italy, on September 3-14, 2001.981-238-069-8 Includes bibliographical references and indexes.CONTENTS ; PREFACE ; Chapter 1 DENSITY FUNCTIONAL THEORY ; 1. Introduction ; 1.1. Units and notation ; 1.2. Hartree-Fock theory ; 1.3. Homogeneous electron gas ; 1.3.1. Free electrons ; 1.3.2. Exchange energy ; 2. What is density functional theory? ; 2.1. Hohenberg-Kohn theorem2.2. A simple example: the Thomas-Fermi theory 2.2.1. Variational equation of Thomas-Fermi theory ; 2.2.2. Thomas-Fermi atom ; 2.2.3. An example ; 3. Kohn-Sham theory ; 3.1. Local density approximation ; 3.2. Spin and the local spin density approximation3.3. The generalized gradient approximation 4. Numerical methods for the Kohn-Sham equation ; 4.0.1. Exact exchange ; 4.0.2. 0(N) methods ; 5. Some applications and limitations of DFT ; 5.1. Two examples of condensed matter ; 5.2. Vibrations ; 5.3. NMR chemical shifts6. Limitations of DFT 7. Time-dependent density functional theory: the equations ; 7.1. Optical properties ; 7.1.1. f-sum rule ; 7.2. Methods to solve the TDDFT equations ; 7.2.1. Linear response formula ; 7.3. Dynamic polarizability ; 7.4. Dielectric function8. TDDFT: numerical aspects 8.1. Configuration matrix method ; 8.2. Linear response method ; 8.3. Sternheimer method ; 8.4. Real time method ; 9. Applications of TDDFT ; 9.1. Simple metal clusters ; 9.2. Carbon structures ; 9.3. Diamond ; 9.4. Other applications9.5. Limitations This invaluable book contains pedagogical articles on the dominant nonstochastic methods of microscopic many-body theories - the methods of density functional theory, coupled cluster theory, and correlated basis functions - in their widest sense. Other articles introduce students to applications of these methods in front-line research, such as Bose-Einstein condensates, the nuclear many-body problem, and the dynamics of quantum liquids. These keynote articles are supplemented by experimental reviews on intimately connected topics that are of current relevance. The book addresses the striking Series on advances in quantum many-body theory ;v. 7.Many-body problemCongressesMany-body problem530.14/4Fabrocini A53597Fantoni S(Stefano)1473633Krotscheck Eckhard1668942European Summer School on Microscopic Many-Body Theories and their Applications(2nd :2001 :Miramare, Italy)MiAaPQMiAaPQMiAaPQBOOK9910810695803321Introduction to modern methods of quantum many-body theory and their applications4098879UNINA