Quantizing Billiards with Arbitrary Trajectories
classification
chao-dyn
nlin.CD
keywords
arbitrarybilliardsquantizingsemiclassicalspectrumtrajectoriesconstructcorrespondence
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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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