منابع مشابه
Scar functions in the Bunimovich Stadium billiard
In the context of the semiclassical theory of short periodic orbits, scar functions play a crucial role. These wavefunctions live in the neighbourhood of the trajectories, resembling the hyperbolic structure of the phase space in their immediate vicinity. This property makes them extremely suitable for investigating chaotic eigenfunctions. On the other hand, for all practical purposes reduction...
متن کاملStadium billiard with moving walls.
We study the evolution of the energy distribution for a stadium with moving walls. We consider a one period driving cycle, which is characterized by an amplitude A and a wall velocity V. This evolving energy distribution has both "parametric" and "stochastic" components. The latter are important for the theory of quantum irreversibility and dissipation in driven mesoscopic devices. For an extre...
متن کاملSome dynamical properties of the stadium billiard
We consider the dynamical properties of one kind of cyclically ordered orbits of the stadium billiard. We prove that the stadium billiard possesses infinitely many such orbits, that they are hyperbolic, and that their stable and unstable manifolds intersect transversely. Hence the stadium billiard contains a Smale horseshoe. We construct symbolic dynamics for these orbits and consider their sen...
متن کاملSymbolic Dynamics Ii the Stadium Billiard
We construct a well ordered symbolic dynamics plane for the stadium billiard. In this symbolic plane the forbidden and the allowed orbits are separated by a monotone pruning front, and allowed orbits can be systematically generated by sequences of approximate finite grammars. 1 ‡ Permanent address: Phys Dep., University of Oslo, Box 1048, Blindern, N-0316 Oslo
متن کاملHow Chaotic is the Stadium Billiard? A Semiclassical Analysis
The impression gained from the literature published to date is that the spectrum of the stadium billiard can be adequately described, semiclassically, by the Gutzwiller periodic orbit trace formula together with a modified treatment of the marginally stable family of bouncing ball orbits. I show that this belief is erroneous. The Gutzwiller trace formula is not applicable for the phase space dy...
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ژورنال
عنوان ژورنال: Chaos: An Interdisciplinary Journal of Nonlinear Science
سال: 2016
ISSN: 1054-1500,1089-7682
DOI: 10.1063/1.4966944