Abstract
We consider a (band) electron-LO phonon system described by an anisotropic Frohlich Hamiltonian. By means of functional integration techniques, the phonon terms can be eliminated exactly, leading to an effective one-particle problem. The (formal) free energy of this effective system is investigated. We clarify its asymptotic behaviour (that is the small- and large-coupling regime) and present Monte-Carlo results for the ground-state energy in the intermediate region. Finally, a comparison is drawn with previous work.
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