Year: 1970

Authors: G.allavotti, J. Ginibre, G. Velo

Title Statistical Mechanics of the Electron-Phonon System: Lettere al Nuovo Cimento, 4, 1293-1297, 1970,

Abstract: Attractive smooth electron-electron interaction generated by phonons in the Fr\"olich Hamiltonian model can be stabilized by the addition of smooth repulsive interaction (like a screened Coulomb repulsion). The thermodynamic limit can be shown to exist in the low densit high temperature regimes. The case of non smoth interactions can also be treated in two-dimensional systems and stability achieved by the addition of a hard core interaction of arbitrarily small radius

Key words:  Statistical Mechanics, Thermodynamic Limit, Phonon, Stability

Giovanni Gallavotti
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