title: Fermi acceleration in time-dependent rectangular billiards due to multiple passages through resonances.
abstract: We consider a slowly rotating rectangular billiard with moving boundaries and use canonical perturbation theory to describe the dynamics of a billiard particle. In the process of slow evolution, certain resonance conditions can be satisfied. Correspondingly, phenomena of scattering on a resonance and capture into a resonance happen in the system. These phenomena lead to destruction of adiabatic invariance and to unlimited acceleration of the particle.
authors: Zentrum für optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany. alx_it@yahoo.com
authors: A P
authors: AP
authors: Itin
authors: A I
authors: AI
authors: Neishtadt