Quantization of a billiard model for interacting particles

Details Quantization of a billiard model for interacting particles Quantization of a billiard model for interacting particles

1999-05-06

arxiv.org/abs/chao-dyn/9905008v1

Phys. Rev. Lett. 84 (2000) 262

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 EPS-figures, uses psfig.sty, epsf.sty

Scientific paper

10.1103/PhysRevLett.84.262

We consider a billiard model of a self-bound, interacting three-body system in two spatial dimensions. Numerical studies show that the classical dynamics is chaotic. The corresponding quantum system displays spectral fluctuations that exhibit small deviations from random matrix theory predictions. These can be understood in terms of scarring caused by a 1-parameter family of orbits inside the collinear manifold.

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