Quantizing Billiards with Arbitrary Trajectories

Details Quantizing Billiards with Arbitrary Trajectories Quantizing Billiards with Arbitrary Trajectories

1998-04-06

arxiv.org/abs/chao-dyn/9804013v1

Nonlinear Dynamics and Computational Physics, Narosa, New Delhi (1999).

Nonlinear Sciences

Chaotic Dynamics

revtex, epsf, ps figures; to appear in the proceedings of the Int. Conf. on Nonlinear Dynamics and Computational Physics (Phys

Scientific paper

The structure of the semiclassical trace formula can be used to construct a
quasi-classical evolution operator whose spectrum has a one-to-one
correspondence with the semiclassical quantum spectrum. We illustrate this for
marginally unstable integrable and non-integrable billiards and demonstrate its
utility by quantizing them using arbitrary non-periodic trajectories.

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