Many-Body Methods in Chemistry and Physics

Isaiah Shavitt is an Emeritus Professor of Ohio State University, and currently serves as an Adjunct Professor of Chemistry at the University of Illinois at Urbana-Champaign. After receiving his Ph.D. in Theoretical Chemistry from the University of Cambridge in 1957, he went on to teach in the chemistry department of Israel Institute of Technology and serve as a Postdoctoral Fellow in Theoretical Chemistry at the University of Wisconsin and the IBM Watson Laboratory at Columbia University. He is an Elected Member of the International Academy of Quantum Molecular Science, and was awarded the 2000 Morley Medal of the Cleveland Section of the American Chemical Society. Rodney J. Bartlett, the Graduate Research Professor at the Quantum Theory Project, University of Florida, pioneered the development of coupled cluster (CC) theory in quantum chemistry to offer highly accurate solutions of the Schrödinger equation for molecular structure and spectra. He is a Fellow of the International Academy of Quantum Molecular Sciences (1991), the American Physical Society (1986), and the Guggenheim Foundation (1986). He has published over 500 papers and book chapters, presented over 200 invited lectures at major meetings, and received numerous awards.

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.