Application of the diffraction trace formula to the three-disk scattering system |
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Authors: | Per E. Rosenqvist Gábor Vattay Andreas Wirzba |
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Affiliation: | (1) Niels Bohr Institute, DK-2100 Copenhagen, Denmark;(2) Institute for Solid State Physics, Eötvös University, H-1088 Budapest, Hungary;(3) Institut für Kernphysik, Technische Hochschule Darmstadt, D-64289 Darmstadt, Germany |
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Abstract: | The diffraction trace formula derived previously and the spectral determinant are tested on the open three-disk scattering system. The system contains a generic and exponentially growing number of diffraction periodic orbits. In spite of this it is shown that even the scattering resonances with large imaginary part can be reproduced semiclassically. The nontrivial interplay of the diffraction periodic orbits with the usual geometrical orbits produces the fine structure of the complicated spectrum of scattering resonances, which are beyond the resolution of the conventional periodic orbit theory. |
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Keywords: | Diffraction periodic orbits scattering quantum chaos |
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