Abstract
We study the time evolution of a quantum particle in a rapidly varying random potential. New sets of exponent relations are found for the moments of the position of the particle. The moments exhibit weak multifractal behavior. We argue that these results are inherently quantum mechanical in nature and have no classical correspondence. Each set of exponent relations is associated with a set of conservation laws.
- Received 3 February 1993
DOI:https://doi.org/10.1103/PhysRevE.48.837
©1993 American Physical Society