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.
Part I Many-Electron Systems and the Electron Propagator.- Systems of identical particles.- Second quantization.- One-particle Greens 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 rl#)
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