Many-Body Methods in Chemistry and Physics: MBPT and Coupled-Cluster Theory

by Isaiah Shavitt , Rodney J. Bartlett

• ISBN13: 9780521818322
• ISBN10: 052181832X
• Edition: 1st
• Format: Hardcover
• Copyright: 2009-08-31
• Publisher: Cambridge University Press

Summary

Written by two leading experts in the field, this book explores the 'many-body' methods that have become the dominant approach in determining molecular structure, properties and interactions. With a tight focus on the highly popular Many-Body Perturbation Theory (MBPT) and Coupled-Cluster theories (CC), the authors present a simple, clear, unified approach to describe the mathematical tools and diagrammatic techniques employed. Using this book the reader will be able to understand, derive and confidently implement relevant algebraic equations for current and even new multi-reference CC methods. Hundreds of diagrams throughout the book enhance reader understanding through visualization of computational procedures and extensive referencing allows further exploration of this evolving area. With an extensive bibliography and detailed index, this book will be suitable for graduates and researchers within quantum chemistry, chemical physics and atomic, molecular and solid-state physics.

Table of Contents

1. Introduction; 2. Formal perturbation theory; 3. Second quantization; 4. Diagrammatic notation; 5. Diagrammatic expansions for perturbation theory; 6. Proof of the linked-diagram theorem; 7. Computational aspects of MBPT; 8. Open-shell and quasidegenerate perturbation theory; 9. Foundations of coupled-cluster theory; 10. Systematic derivation of the coupled-cluster equations; 11. Calculation of properties in coupled-cluster theory; 12. Additional aspects of coupled-cluster theory; 13. The equation-of-motion coupled-cluster method for excited, ionized and electron-attached states; 14. Multireference coupled-cluster methods.