Semiclassical Evaluation of the Quantum Propagator of Chaotic Systems

¹Department of Astronomy and Applied Physics, ²Center of Nonlinear Science, University of Science and Technology of China, Hefei 230026

Published Date: June 30, 2000

Abstract

The propagators of quantum chaotic systems in configuration space are calculated semiclassically. For the strongly chaotic system whose phase space is torus, such as baker’s map, we find that, long after a logarithm time, the quantum propagator can be evaluated approximately as the local average of the semiclassical one on each quantum cell h.