Topological spectrum of classical configurations

DOI10.1063/1.2820985zbMATH Open1221.81116arXiv0710.1117OpenAlexW3103327590MaRDI QIDQ3092488

Hernando Quevedo, Francisco Nettel

Publication date: 17 September 2011

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Abstract: For any classical field configuration or mechanical system with a finite number of degrees of freedom we introduce the concept of topological spectrum. It is based upon the assumption that for any classical configuration there exists a principle fiber bundle that contains all the physical and geometric information of the configuration. The topological spectrum follows from the investigation of the corresponding topological invariants. Examples are given which illustrate the procedure and the significance of the topological spectrum as a discretization relationship among the parameters that determine the physical meaning of classical configurations.

Full work available at URL: https://arxiv.org/abs/0710.1117

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Axiomatics, foundations (70A05)

Related Items (4)

Title not available (Why is that?) ⋮ Topological spectrum of mechanical systems ⋮ Topological models for classical configurations ⋮ Semiclassical topological Möbius planes

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