Rational billiards and algebraic curves

DOI10.1016/0393-0440(88)90004-6zbMath0688.70017OpenAlexW2092072324MaRDI QIDQ1264017

Erik Aurell, Claude Itzykson

Publication date: 1988

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(88)90004-6

zbMATH Keywords

Dirichlet boundary conditionsphase spacecompact manifoldsalgebraic curverational triangular billiard

Mathematics Subject Classification ID

Quantum scattering theory (81U99) Hamiltonian and Lagrangian mechanics (70H99) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items

Fuchsian triangle groups and Grothendieck dessins. Variations on a theme of Belyi, Translation covers among triangular billiard surfaces, Monodromy groups of dessins d'enfant on rational triangular billiards surfaces, Book Review: Twisted Teichmüller curves, Veech groups and polygonal coverings

Cites Work

• Unnamed Item
• Unnamed Item
• Pseudointegrable systems in classical and quantum mechanics
• Sum rules for quantum billiards
• SIMPLE INTEGRABLE SYSTEMS, AND LIE ALGEBRAS