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

Per E. Rosenqvist, G. Vattay, Andreas Wirzba

Research output: Contribution to journalArticle

21 Citations (Scopus)

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 languageEnglish
Pages (from-to)243-257
Number of pages15
JournalJournal of Statistical Physics
Volume83
Issue number1-2
Publication statusPublished - Apr 1996

Fingerprint

Trace Formula
Periodic Orbits
Diffraction
Scattering
orbits
resonance scattering
scattering
diffraction
Fine Structure
Determinant
Orbit
determinants
fine structure

Keywords

  • Diffraction
  • Periodic orbits
  • Quantum chaos
  • Scattering

ASJC Scopus subject areas

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

Cite this

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

In: Journal of Statistical Physics, Vol. 83, No. 1-2, 04.1996, p. 243-257.

Research output: Contribution to journalArticle

Rosenqvist, Per E. ; Vattay, G. ; Wirzba, Andreas. / Application of the diffraction trace formula to the three-disk scattering system. In: Journal of Statistical Physics. 1996 ; Vol. 83, No. 1-2. pp. 243-257.
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