M.H. Pedersen, J.J. Rodríguez-Núñez, et al.
Zeitschrift fur 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.
M.H. Pedersen, J.J. Rodríguez-Núñez, et al.
Zeitschrift fur Physik B-Condensed Matter
J.J. Rodríguez-Núñez, S. Schafroth, et al.
Journal of Low Temperature Physics
T. Schneider, E. Stoll
Physical Review B
H.R. Jauslin, T. Schneider
Journal of Statistical Physics