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Titlebook: Differential Geometric Methods in Mathematical Physics; Proceedings of a Con Heinz-Dietrich Doebner,Stig I. Andersson,Herbert R Conference

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https://doi.org/10.1057/9781137374011city and momentum. The independence of velocity and momentum is interpreted by internal degrees of freedom. The geometry of the internal phase-space is discussed. The close analogy between the classical and quantum equations and their algebraic and symplectic structures is shown.
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Lecture Notes in Mathematicshttp://image.papertrans.cn/d/image/278731.jpg
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Prequantisation from path integral viewpoint,The quantum mechanically admissible definitions of the factor exp [i/ℏ S(.)] in Feynman‘s integral—are put in bijection with the prequantisations of Kostant and Souriau. The different allowed expressions of this factor— the inequivalent prequantisations—are classified in terms of algebraic topology.
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https://doi.org/10.1007/978-3-531-91957-7 commutative system of covariance (representing a generalization of the imprimitivity theorem of Mackey) is discussed. The relevance of these results to the theory of quantum mechanical observables, admitting stochastic value spaces, is pointed out.
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A geometrical property of POV-measures and systems of covariance, commutative system of covariance (representing a generalization of the imprimitivity theorem of Mackey) is discussed. The relevance of these results to the theory of quantum mechanical observables, admitting stochastic value spaces, is pointed out.
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