- 99-141 Bambusi, D.
- ON THE DYNAMICS OF THE HOLSTEIN MODEL FROM THE ANTICONTINUOUS LIMIT
May 6, 99
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Abstract. We consider the Holstein model describing an electron
interacting with a lattice of identical oscillators. We remark that
the on site system (i.e. the system in which the interaction between
the different sites of the lattice vanishes) is integrable and
anisocronous. This allows to apply some recent Nekhoroshev type
results to show that corresponding the majority of initial data in
which the electron probability is concentrate on a finite number of
sites, the electron probability distribution is approximatively
constant for times growing exponentially with the inverse of the
coupling parameter. Moreover, for the same times, the total energy of
the oscillator system is approximatively constant.