Fifth International Conference on Dynamical Processes in the Excited States of Solids / Dynamique des Etats Excités dans les Solides
J. Phys. Colloques 46 (1985) C7-35-C7-39
DOI: 10.1051/jphyscol:1985707
NON-MARKOVIAN DIFFUSION OF A QUANTUM PARTICLE IN A FLUCTUATING MEDIUM
P. Reineker et K. KassnerAbteilung Theoretische Physik, Universität Ulm, D-7900 Ulm, F.R.G.
Abstract
A model for diffusion of a quantum particle on a fluctuating lattice is considered. The Hamiltonian contains a coherent transfer matrix element between nearest neighbors and local energy fluctuations described by a dichotomic Markov process with coloured noise . The diffusion constant is calculated up to the fourth order in J. The result is compared to recent findings of Kitahara-Haus and Inaba. Anderson localization emerges in the limit of static fluctuations.