Quantum Limit of Chaotic Systems as Quantum Diffusion

摘要

We describe classical chaotic motion in terms of diffusion in configurationalspace. This approach is illustrated for chaotic billiards and an oscillator with anharmonic coupling. It is argued that in the quantum limit, physical phenomena ordinarily associated with disordered metals, such as localization and mesoscopic phenomena, carry over to chaotic systems in general which are in the universality class of the nonlinear sigma model.