Abstract
Morphological image analysis is applied to the time evolution of the probability distribution of a quantum particle moving in two- and three-dimensional billiards. It is shown that the time-averaged Euler characteristic of the probability distribution provides a well defined quantity to distinguish between classically integrable and nonintegrable billiards. In three dimensions the time-averaged mean breadth of the probability distribution may also be used for this purpose.
| Original language | English |
|---|---|
| Article number | 016201 |
| Pages (from-to) | art - 016201 |
| Number of pages | 7 |
| Journal | Physical Review E |
| Volume | 6302 |
| Issue number | 2 |
| Publication status | Published - 2001 |
Keywords
- PHASE-SPACE
- SYSTEMS
- SCARS
- EIGENFUNCTIONS
- SPECTRUM
- ORBITS
- CHAOS