Many-Body Methods for Atoms, Molecules and Clusters

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.

Part I Many-Electron Systems and the Electron Propagator.- Systems of identical particles.- Second quantization.- One-particle Green's 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 representation (ISR).- Order relations and separability.- Part IV N-Electronic excitations.- Polarization propagator.- ADC and ISR approaches to the polarization propagator.- Random-phase approximation (RPA).- Part V. A look at related methods.- Algebraic propagator methods.- Coupled-cluster methods for generalized excitations.- Appendix.