Quantizing Billiards with Arbitrary Trajectories

Debabrata Biswas

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Quantizing Billiards with Arbitrary Trajectories

Debabrata Biswas

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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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Debabrata Biswas. 1998-04-06. Quantizing Billiards with Arbitrary Trajectories. https://arxiv.org/abs/chao-dyn/9804013

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