T. Schneider, Z. Gedik, et al.
Zeitschrift für Physik B Condensed Matter
We establish the mapping of the master equation for classical motion in random media to a quantum system, describing the motion of a quantum particle in a random potential. Invoking dynamic scaling, the mapping connects the time-dependent mean square displacement of classical motion with the density of states in terms of the classical correlation length. These connections are illustrated for a model with exactly solvable diffusion properties, confirming dynamic scaling. The numerical results for the quantum counterpart reveal energy-dependent localization in terms of the real part of the Lyapunov exponent, which is proportional to the inverse localization length. © 1986 The American Physical Society.
T. Schneider, Z. Gedik, et al.
Zeitschrift für Physik B Condensed Matter
T. Schneider, P.F. Meier
Physica
T. Schneider
IBM J. Res. Dev
T. Schneider, A. Politi
Journal of Applied Physics