Dresden 2011 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 15: ISPS Intersectional Poster Session
DY 15.15: Poster
Tuesday, March 15, 2011, 18:00–20:00, P1
Integrable Approximation for Regular Islands in Billiards — Arnd Bäcker1,2, Roland Ketzmerick1,2, •Clemens Löbner1, and Steffen Löck1 — 1Technische Universität Dresden, Institut für Theoretische Physik, 01062 Dresden — 2MPI für Physik komplexer Systeme, 01187 Dresden
Our aim is to approximate the dynamics of a regular island in a nonintegrable billiard by an integrable Hamiltonian. For this purpose we use canonical transformations and interpolation techniques in the 4D phase space such that the regular tori of both systems and their dynamics agree as closely as possible. The resulting integrable Hamiltonian describes a billiard with the same boundary, but a nontrivial time evolution. We present the application of this method for the cosine billiard. This provides a basis for the determination of regular-to-chaotic tunneling rates with the fictitious integrable system approach.