Chaos, Dissipation and Quantal Brownian Motion

Abstract

Energy absorption by driven chaotic systems, the theory of energy spreading and quantal Brownian motion are considered. In particular we discuss the theory of a classical particle that interacts with quantal chaotic degrees of freedom, and try to relate it to the problem of quantal particle that interacts with an effective harmonic bath.

36-page lecture notes of the course in Varenna school, Session CXLIII "New Directions in Quantum Chaos", Italy (July 1999)

Cited by in corpus (4)

• Chaos and energy spreading for time-Dependent Hamiltonians, and the various Regimes in the theory of Quantum Dissipation
• The survival probability and the local density of states for one-dimensional Hamiltonian systems
• Overview: Energy Absorption by Driven Mesoscopic Systems
• Overview: Brownian Motion and Dephasing due to Dynamical Disorder