Many-Body Methods for Atoms, Molecules and Clusters (eBook)

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.

I. Many-Electron Systems and the Electron Propagator1. Systems of identical particles 2. Second quantization 3. One-particle Green’s function II. Formalism of Diagrammatic Perturbation Theory 4. Perturbation theory for the electron propagator 5. Introducing diagrams 6. Feynman diagrams 7. Time-ordered or Goldstone diagramsIII. Approximations and Computational Schemes 8. Self-energy and the Dyson equation 9. Algebraic-diagrammatic construction (ADC) 10. Direct ADC procedure for the electron propagator 11. Intermediate-state representation (ISR) 12. Order relations and separability IV. N-Electron Excitations 13. Polarization propagator  14. ADC and ISR approaches to the polarization propagator 15. Random-phase approximation (RPA) V. A Look at Related Methods 16. Algebraic propagator methods17. Coupled-cluster methods for generalized excitations Appendix A1 Basic tools A2 Proof of the Gell-Mann and Low theorem A3 Proof of Wick’s theorem A4 Time-ordered diagrams: derivation of Goldstone rules A5 Dyson expansion method for the static self-energy part A6 Proofs of order relations A7 Linear response theory and the polarization propagator A8 Superoperator approach to the electron propagator A9 Compilation of ADC expressions