We use analytic techniques and the dynamical mean field method to study the crossover from fermi liquid to polaron behavior in models of electrons interacting with dispersionless classical phonons.

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We use the dynamical mean field method to study a model of electrons Jahn-Teller coupled to localized classical oscillators and ferromagnetically coupled to "core spins", which, we argue, contains the essential physics of the "colossal magnetoresistance" manganites Re 1−x A x MnO 3 .We determine the different regimes of the model and present results for the temperature and frequency dependence of the conductivity, the electron spectral function and the root mean square lattice parameter fluctuations. We compare our results to data, and give a qualitative discussion of important physics not included in the calculation. Extensive use is made of results from a companion paper titled: "On the Fermi Liquid to Polaron Crossover I: General Results".Typeset using REVT E XThe double exchange phenomenon gives an obvious connection between electron hopping and magnetic order: disorder in the spins implies randomness in t ij , which

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