Created almost 9 years ago, updated almost 9 years ago
We start with the general theory of Green functions:
Hedin, L. and S. O. Lundqvist. “Effects of Electron-Electron and Electron-Phonon Interactions on the One-Electron States of Solids”. in Solid State Physics 23 (1969) 1 [DOI].
The goal is to derive Hedin's equations, and grasp a physical understanding of Green functions, self-energies, spectral functions, response functions and vertex corrections.
It is important that these ideas be connected the single-particle quantum physics. The connection to the experimental measurements is also to be developed.
Along with the main article above, there is a need for other resources as:
Fetter, A. L. and Walecka, J. D. “Quantum theory of many-particle systems”. Dover (2013).
Gross, E. K. U. et al. “Many-particle Theory”. Taylor & Francis (1991).
Bruus, H., and K. Flensberg. “Many-body quantum theory in condensed matter physics”. Oxford University Press (2004).
Jishi, R. A. “Feynman diagram techniques in condensed matter physics”. Cambridge University Press (2013).
Ziman, J. M. “Principles of the Theory of Solids”. CUP (1972).
Kittel, C. “Quantum Theory of Solids”. Wiley (1963).
Held, K., et al. “Hedin equations, GW, GW+DMFT, and all that”. arXiv:1109.3972.
Pines, D. “Elementary excitations in solids”. Perseus (1966).
We start with the general theory of Green functions:
#### Hedin, L. and S. O. Lundqvist. “Effects of Electron-Electron and Electron-Phonon Interactions on the One-Electron States of Solids”. in Solid State Physics 23 (1969) 1 [[DOI](https://doi.org/10.1016/S0081-1947(08)60615-3)].
The goal is to derive Hedin's equations, and grasp a physical understanding of Green functions, self-energies, spectral functions, response functions and vertex corrections.
It is important that these ideas be connected the single-particle quantum physics. The connection to the experimental measurements is also to be developed.
Along with the main article above, there is a need for other resources as:
- Fetter, A. L. and Walecka, J. D. “Quantum theory of many-particle systems”. Dover (2013).
- Gross, E. K. U. et al. “Many-particle Theory”. Taylor & Francis (1991).
- Bruus, H., and K. Flensberg. “Many-body quantum theory in condensed matter physics”. Oxford University Press (2004).
- Jishi, R. A. “Feynman diagram techniques in condensed matter physics”. Cambridge University Press (2013).
- Ziman, J. M. “Principles of the Theory of Solids”. CUP (1972).
- Kittel, C. “Quantum Theory of Solids”. Wiley (1963).
- Held, K., et al. “Hedin equations, GW, GW+DMFT, and all that”. <arXiv:1109.3972>.
- Pines, D. “Elementary excitations in solids”. Perseus (1966).
*Notice: This section is subject to updates.*