Vibrating soap films: An analog for quantum chaos on billiards
Abstract
We present an experimental setup based on the normal modes of vibrating soap films which shows quantum features of integrable and chaotic billiards. In particular, we obtain the so-called scars—narrow linear regions with high probability along classical periodic orbits—for the classically chaotic billiards. We show that these scars are also visible at low frequencies. Finally, we suggest some applications of our experimental setup in other related two-dimensional wave phenomena.
- Publication:
-
American Journal of Physics
- Pub Date:
- July 1998
- DOI:
- 10.1119/1.18913
- arXiv:
- arXiv:chao-dyn/9903002
- Bibcode:
- 1998AmJPh..66..601A
- Keywords:
-
- 01.50.My;
- 05.45.+b;
- 47.35.+i;
- Demonstration experiments and apparatus;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 5 pages, 7 figures. Better Postscript figures available on request