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The cohomology of the classical and quantum Weyl CCR in curved spaces
Authors:J. Bertrand   G. G. Emch  G. Rideau
Affiliation:(1) Laboratoire de Physique Théorique et Mathématique, Université de Paris VII, 2 Place Jussieu, F-75251 Paris, France;(2) Present address: Department of Mathematics, University of Florida, 32611 Gainesville, FL, USA
Abstract:
An analysis is presented of the cohomological underpinnings for the Weyl group of the canonical commutation relations on manifolds of constant negative curvature. Several uniqueness results are obtained leading from purely classical considerations to the group associated with the systems of imprimitivity of the orthodox approach to quantum mechanics.
Keywords:58F06  81S10
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