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Scars in billiards: The phase space approach

✍ Scribed by Mario Feingold; Robert G. Littlejohn; Stephani B. Solina; J.S. Pehling; Oreste Piro


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
390 KB
Volume
146
Category
Article
ISSN
0375-9601

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Billiard problems for the domains on the sphere and hyperbolic space bounded by the corresponding conical sections are investigated. It is shown that these discrete systems are integrable and correspond to the translations on the Jacobi varieties of certain hyperelliptic curves. The explicit formula