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Path integral on spherical surfaces in D dimensions and on group spaces

✍ Scribed by H. Kleinert


Book ID
113357731
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
364 KB
Volume
236
Category
Article
ISSN
0370-2693

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Confocal surfaces and integrable billiar
✍ Alexander P. Veselov πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 917 KB

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