# System of green functions in solid state physics

by siver
Tags: functions, green, physics, solid, state
 P: 3 Assume we have a solid state hamiltonian, which is ellectrons plus nuclei plus all possible interactions: H = $T_{el}$ + $V_{el-el}$ + $T_{n}$ + $V_{n-n}$ + $V_{n-el}$Is it wrong to write down a self-consistent system of Green functions for electrons and phonons? $G_{el}$=g + gS$G_{el}$ $G_{ph}$=g + gS$G_{ph}$S operator does the interraction thing. Looks fair to me, but I've never seen any articles doing this way.