Phase space curvature
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 361-368

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Electromagnetic field in classical and quantum mechanics is naturally represented by geometry of extended phase space, with extra coordinates of time and canonically conjugate momentum $p_0=-E$.
Keywords: phase space, quantum mechanics, gauge symmetry, curvature, noncommutative geometry.
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     title = {Phase space curvature},
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M. G. Ivanov. Phase space curvature. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 361-368. http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a36/