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© 2018

Many-Body Methods for Atoms, Molecules and Clusters

Book

Part of the Lecture Notes in Chemistry book series (LNC, volume 94)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Many-Electron Systems and the Electron Propagator

    1. Front Matter
      Pages 1-1
    2. Jochen Schirmer
      Pages 3-17
    3. Jochen Schirmer
      Pages 19-30
    4. Jochen Schirmer
      Pages 31-41
  3. Formalism of Diagrammatic Perturbation Theory

    1. Front Matter
      Pages 43-43
    2. Jochen Schirmer
      Pages 61-73
    3. Jochen Schirmer
      Pages 75-93
    4. Jochen Schirmer
      Pages 95-108
  4. Approximations and Computational Schemes

    1. Front Matter
      Pages 109-109
    2. Jochen Schirmer
      Pages 111-134
    3. Jochen Schirmer
      Pages 135-146
    4. Jochen Schirmer
      Pages 147-159
    5. Jochen Schirmer
      Pages 161-175
    6. Jochen Schirmer
      Pages 177-191
  5. N-Electron Excitations

    1. Front Matter
      Pages 193-193
    2. Jochen Schirmer
      Pages 195-204
    3. Jochen Schirmer
      Pages 223-237

About this book

Introduction

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.

Keywords

Many-body methods in quantum chemistry Field-theoretical many-body methods Electronic states and transitions in molecules Feynman diagrams Algebraic-diagrammatic construction (ADC) Fundamentals of many-body physics Many-electron systems Electron propagator Diagrammatic perturbation theory Green’s function Goldstone diagrams Dyson equation

Authors and affiliations

  1. 1.Institute of Physical ChemistryHeidelberg UniversityHeidelbergGermany

About the authors

Prof. Dr. Jochen Schirmer studied physics at the universities of Munich and Göttingen (Germany). He obtained his physics diploma from the University of Munich and earned his PhD at Physics Department of the Technical University of Munich in 1977. Subsequently he held research positions as post-doctoral fellow at the University in Freiburg and at the Theoretical Chemistry group of L.S. Cederbaum in Heidelberg. From 1983-87, he worked at the Fritz-Haber-Institute of the Max Planck Society in Berlin, but finished his habilitation in Heidelberg in 1985. Prof. Schirmer further visited the University in Kaiserslautern (1987-89) and the California Institute of Technology, Pasadena, USA (1987/88) before finally returning to Heidelberg as professor for Physical Chemistry. He retired from this position in 2009.

Bibliographic information