Quantal Consequences of Perturbations Which Destroy Structurally Unstable Orbits in Chaotic Billiards

Details Quantal Consequences of Perturbations Which Destroy Structurally Unstable Orbits in Chaotic Billiards Quantal Consequences of Perturbations Which Destroy Structurally Unstable Orbits in Chaotic Billiards

1994-05-10

arxiv.org/abs/chao-dyn/9405004v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1088/0305-4470/27/13/018

Non-generic contributions to the quantal level-density from parallel segments in billiards are investigated. These contributions are due to the existence of marginally stable families of periodic orbits, which are structurally unstable, in the sense that small perturbations, such as a slight tilt of one of the segments, destroy them completely. We investigate the effects of such perturbation on the corresponding quantum spectra, and demonstrate them for the stadium billiard.

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