05143nam 22006735 450 991029860790332120200707025207.03-319-93602-610.1007/978-3-319-93602-4(CKB)4100000007110855(MiAaPQ)EBC5598534(DE-He213)978-3-319-93602-4(PPN)232471630(EXLCZ)99410000000711085520181102d2018 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMany-Body Methods for Atoms, Molecules and Clusters /by Jochen Schirmer1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (330 pages)Lecture Notes in Chemistry,0342-4901 ;943-319-93601-8 Part I Many-Electron Systems and the Electron Propagator -- Systems of identical particles -- Second quantization -- One-particle Green’s function -- Part II Formalism of Diagrammatic Perturbation Theory -- Perturbation theory for the electron propagator -- Introducing diagrams -- Feynman diagrams -- Time-ordered or Goldstone diagrams -- Part III Approximation and Computational Schemes -- Self-energy and the Dyson equation -- Algebraic-diagrammatic construction (ADC) -- Direct ADC procedure for the electron propagator -- Intermediate-state representation (ISR) -- Order relations and separability -- Part IV N-Electronic excitations -- Polarization propagator -- ADC and ISR approaches to the polarization propagator -- Random-phase approximation (RPA) -- Part V. A look at related methods -- Algebraic propagator methods -- Coupled-cluster methods for generalized excitations -- Appendix.This book provides an introduction to many-body methods for applications in quantum chemistry. These methods, originating in field-theory, offer an alternative to conventional quantum-chemical approaches to the treatment of the many-electron problem in molecules. Starting with a general introduction to the atomic and molecular many-electron problem, the book then develops a stringent formalism of field-theoretical many-body theory, culminating in the diagrammatic perturbation expansions of many-body Green's functions or propagators in terms of Feynman diagrams. It also introduces and analyzes practical computational methods, such as the field-tested algebraic-diagrammatic construction (ADC) schemes. The ADC concept can also be established via a wave-function based procedure, referred to as intermediate state representation (ISR), which bridges the gap between propagator and wave-function formulations. Based on the current rapid increase in computer power and the development of efficient computational methods, quantum chemistry has emerged as a potent theoretical tool for treating ever-larger molecules and problems of chemical and physical interest. Offering an introduction to many-body methods, this book appeals to advanced students interested in an alternative approach to the many-electron problem in molecules, and is suitable for any courses dealing with computational methods in quantum chemistry.Lecture Notes in Chemistry,0342-4901 ;94Chemistry, Physical and theoreticalMathematical physicsChemometricsAtomic structure  Molecular structure Physical chemistryTheoretical and Computational Chemistryhttps://scigraph.springernature.com/ontologies/product-market-codes/C25007Theoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Math. Applications in Chemistryhttps://scigraph.springernature.com/ontologies/product-market-codes/C17004Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Atomic/Molecular Structure and Spectrahttps://scigraph.springernature.com/ontologies/product-market-codes/P24017Physical Chemistryhttps://scigraph.springernature.com/ontologies/product-market-codes/C21001Chemistry, Physical and theoretical.Mathematical physics.Chemometrics.Atomic structure  .Molecular structure .Physical chemistry.Theoretical and Computational Chemistry.Theoretical, Mathematical and Computational Physics.Math. Applications in Chemistry.Mathematical Applications in the Physical Sciences.Atomic/Molecular Structure and Spectra.Physical Chemistry.530.144Schirmer Jochenauthttp://id.loc.gov/vocabulary/relators/aut769352BOOK9910298607903321Many-Body Methods for Atoms, Molecules and Clusters1568358UNINA