THE ELECTRON-PHONON, ELECTRON-PLASMON, PLASMON-PHONON, AND PLASMON-PLASMON INTERACTIONS AND SOME INSTABILITIES THAT THEY LEAD TO

摘要

The electron-phonon and electron-plasmon interaction Hamiltonians previously found by Pines and Schrieffer are derived. Then a plasmon phonon interaction Hamiltonian is derived. This is used to discuss a "vave vector space" instability found by Vedenov and Rudakov. Plasmons may interact by exchanging phonons. The plasmon-plasmon interaction Hamiltonian is derived. It is used to discuss the instability of a plasmon gas -which was also found by Vedenov and Rudakov.