Stuttgart 2012 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 54: Poster 3

Q 54.88: Poster

Thursday, March 15, 2012, 16:30–19:00, Poster.I+II

Periodic orbit bunches in open billiard systems — •Thai Hien Tran, Jörg Main, and Günter Wunner — 1. Institut für Theoretische Physik, Universität Stuttgart

For chaotic systems Gutzwillers periodic orbit theory has proven successful in the domain between quantum and classical mechanics. Its pivotal formula, the Gutzwiller trace formula, expresses the quantum density of states in terms of all classical periodic orbits. With the symbolic dynamics, all periodic orbits can be found in principle. However, the number of orbits increases exponentially with their symbolic length. Here, we present a systematic way for open billiard systems to group orbits with near-degenerate actions in bunches. The Gutzwiller trace formula can be applied with only one representative per bunch instead of the full set of periodic orbits. The number of bunches increases algebraically, so that calculations can be extended to longer orbits.