1.
Phys Rev E Stat Nonlin Soft Matter Phys
; 67(1 Pt 2): 016216, 2003 Jan.
Article
in English
| MEDLINE
| ID: mdl-12636594
ABSTRACT
Right triangular billiards are very simple systems that are completely integrable in classical mechanics for acute angle pairs (45 degrees,45 degrees ) and (30 degrees,60 degrees ). In quantum mechanics, the energy level spacing distribution of these billiards are neither Poisson-like nor Wigner-like. We use Bohm's formalism to calculate the trajectories, by numerical methods, for a particle inside these billiards. We use a linear combination of the first three energy states as the initial wave function. We show that a particle can have quasiperiodic or chaotic behavior, depending on its initial position in the billiards.