# Many-Body Methods for Atoms, Molecules and Clusters

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

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

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.

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

- DOI https://doi.org/10.1007/978-3-319-93602-4
- Copyright Information Springer Nature Switzerland AG 2018
- Publisher Name Springer, Cham
- eBook Packages Chemistry and Materials Science
- Print ISBN 978-3-319-93601-7
- Online ISBN 978-3-319-93602-4
- Series Print ISSN 0342-4901
- Series Online ISSN 2192-6603
- Buy this book on publisher's site

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