Topological Quantum Numbers of m-Particle Systems

Hans-Jürgen Mann
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Hans-Jürgen Mann: Technische Universität Clausthal, Institut für Theoretische Physik

A chapter in Symmetries in Science X, 1998, pp 285-292 from Springer

Abstract: Abstract The category of topological spaces and continuous maps is an important conception in theoretical physics. Topological spaces appear in many situations, e. g. as a configuration space or as a state space of a classical or quantum mechanical system, and the elements of these spaces carry information about observable properties of the system. Of course, the local structureof such a topological space — usually encoded in terms of a distance function or metric — is important, e. g. for the comparison of any two different elements of the space and for the use of approximation methods. But also the global structureof the topological space may contain important information about the system, which can not be obtained from the local structure of the space. Examples for global structures are provided by the compactness of a topological space or the requirement of certain boundary conditions1 for functions defined on the space.

Keywords: Vector Bundle; Topological Space; Configuration Space; Isomorphism Class; Quantum Chromo Dynamic (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-1-4899-1537-5_15

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