### 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.

Original language | English |
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Pages (from-to) | 243-257 |

Number of pages | 15 |

Journal | Journal of Statistical Physics |

Volume | 83 |

Issue number | 1-2 |

Publication status | Published - Apr 1996 |

### Fingerprint

### Keywords

- Diffraction
- Periodic orbits
- Quantum chaos
- Scattering

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

*Journal of Statistical Physics*,

*83*(1-2), 243-257.

**Application of the diffraction trace formula to the three-disk scattering system.** / Rosenqvist, Per E.; Vattay, G.; Wirzba, Andreas.

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 83, no. 1-2, pp. 243-257.

}

TY - JOUR

T1 - Application of the diffraction trace formula to the three-disk scattering system

AU - Rosenqvist, Per E.

AU - Vattay, G.

AU - Wirzba, Andreas

PY - 1996/4

Y1 - 1996/4

N2 - 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.

AB - 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.

KW - Diffraction

KW - Periodic orbits

KW - Quantum chaos

KW - Scattering

UR - http://www.scopus.com/inward/record.url?scp=0030556273&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030556273&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030556273

VL - 83

SP - 243

EP - 257

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 1-2

ER -