Many-Body Methods for Atoms, Molecules and Clusters
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...
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| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2018.
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| Edition: | 1st ed. 2018. |
| Series: | Lecture Notes in Chemistry,
94 |
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| Online Access: | https://doi.org/10.1007/978-3-319-93602-4 |
Table of Contents:
- 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.