Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1996-08-14
Nonlinear Sciences
Chaotic Dynamics
24 pages (including 7 postcript figures), Revtex. Submitted to PRE
Scientific paper
10.1103/PhysRevE.54.4812
This paper is concerned with the study of one-body dissipation effects in idealized models resembling a nucleus. In particular, we study the quantum mechanics of a free particle that collides elastically with the slowly moving walls of a Bunimovich stadium billiard. Our results are twofold. First, we develop a method to solve in a simple way the quantum mechanical evolution of planar billiards with moving walls. The formalism is based on the {\it scaling method} \cite{ver} which enables the resolution of the problem in terms of quantities defined over the boundary of the billiard. The second result is related to the quantum aspects of dissipation in systems with complex spectra. We conclude that in a slowly varying evolution the energy is transferred from the boundary to the particle through Landau$-$Zener transitions.
Sanchez Maria Jose
Vergini Eduardo
Wisniacki Diego. A.
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