On Global Properties of Quantum Systems

  • H. D. Doebner
  • J. Tolar


Consider a smooth connected manifold M and a physical system which is “based” on M (configuration space), i.e. one can localize the system in a sufficiently large class of regions U M and observe how the localization region moves. The properties of such a system will depend on the geometry of M. Its description may be based in a natural manner on those objects on M, which are characteristic for its structure, like compactly supported functions, n-forms, vector fields,jets, etc. Special examples are Hamiltonian systems [1], non-relativistic quantum systems on homogeneous spaces [2], [3] and Maxwell fields on manifolds [4], [5].


Configuration Space Global Property Selfadjoint Operator Selfadjoint Extension Position Projection 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • H. D. Doebner
    • 1
  • J. Tolar
    • 2
  1. 1.Technische UniversitätGermany
  2. 2.Czech Technical UniversityCzech Republic

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