Statistical properties of spectra of pseudointegrable systems

Akira Shudo, Yasushi Shimizu, Petr Šeba, Jürgen Stein, Hans-Jürgen Stöckmann, and Karol Życzkowski
Phys. Rev. E 49, 3748 – Published 1 May 1994
PDFExport Citation

Abstract

We analyze the spectral properties of various quantum pseudointegrable billiards (rhombus, gnomon, deltoid) and link them to the genus of the invariant surface of the corresponding classical model. Numerical investigations of the quantum billiards are completed by an experimental study of microwave resonators. Absorption spectra of microwaves in ‘‘ssL-shaped’’ resonators are measured and the distributions of eigenfrequencies are investigated.

  • Received 14 December 1993

DOI:https://doi.org/10.1103/PhysRevE.49.3748

©1994 American Physical Society

Authors & Affiliations

Akira Shudo, Yasushi Shimizu, Petr Šeba, Jürgen Stein, Hans-Jürgen Stöckmann, and Karol Życzkowski

  • Institute for Molecular Science, Myodaiji, Okazaki 444, Japan
  • Department of Applied Physics, Tokyo Institute of Technology, O-okayama, Meguro-ku, Tokyo 152, Japan
  • Nuclear Physics Institute, Academy of Sciences of the Czech Republik, Řež near Prague, Czech Republic
  • Fachbereich Physik, Universität Marburg, 35032 Marburg, Germany
  • Instytut Fizyki, Uniwersytet Jagielloński, ul. Reymonta 4, 30-059 Kraków, Poland

References (Subscription Required)

Click to Expand
Issue

Vol. 49, Iss. 5 — May 1994

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×