Topological spectrum of mechanical systems

DOI10.1016/S0034-4877(10)00003-0zbMath1204.53077arXiv0801.2422MaRDI QIDQ962554

Hernando Quevedo, Francisco Nettel, Moicés Rodríguez

Publication date: 7 April 2010

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.2422

zbMATH Keywords

classical mechanicstopological quantizationcanonical spectraconservative systems with a finite number of degrees of freedomtopological spectra of some simple mechanical systems

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geometry and quantization, symplectic methods (81S10) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Geometric quantization (53D50)

Cites Work

• Topological quantization and cohomology
• On symmetric gauge fields
• The generalized Maupertuis principle
• Topological quantization of the magnetic flux
• Topological quantization of gravitational fields
• Topological spectrum of classical configurations
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