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Quantizing Billiards with Arbitrary Trajectories

1998/04/06 by Debabrata Biswas
Physics and Astronomy · #chao-dyn #nlin.CD

paper · pdf

published as Nonlinear Dynamics and Computational Physics, Narosa, New Delhi (1999). · revtex, epsf, ps figures; to appear in the proceedings of the Int. Conf. on Nonlinear Dynamics and Computational Physics (Physical Research Laboratory, Ahmedabad, INDIA)

arxiv created 1998/04/06 · arxiv updated 2009/11/30

Abstract

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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