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Expression explicite de L'exponentielle gauche pour les elements finis du groupe symplectique inhomogene

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Abstract

We explain the special role of the inhomogenous symplectic group (linear mechanics) in the framework of Wigner isomorphism, and give an explicit representation in the set of functions on the phase space. It turns out that the Cayley transform plays a particular role in this context.

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Authors and Affiliations

  1. Institut de Physique de l'Université, Rue A.-L. Breguet 1, CH-2000, Neuchâtel, Suisse

    P. Huguenin

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  1. P. Huguenin
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Huguenin, P. Expression explicite de L'exponentielle gauche pour les elements finis du groupe symplectique inhomogene. Lett Math Phys 2, 321–324 (1978). https://doi.org/10.1007/BF00419622

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  • DOI: https://doi.org/10.1007/BF00419622

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