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Franz Luef

  1. Preferred Quantization Rules: Born-Jordan vs. Weyl: the Pseudo-Differential Point of View.

    Mon, 02/28/2011 - 16:01 — SomNambul
    Authors: Maurice de Gosson, Franz Luef
    Subjects: Mathematical Physics
    Abstract

    There has recently been evidence for replacing the usual Weyl quantization
    procedure by the older and much less known Born-Jordan rule. In this paper we
    discuss this quantization procedure in detail and relate it to recent results
    of Boggiato, De Donno, and Oliaro on the Cohen class.

  2. The Pseudo-Character of the Weil Representation and its Relation with the Conley-Zehnder Index.

    Wed, 09/09/2009 - 22:08 — SomNambul
    Authors: Maurice de Gosson, Franz Luef
    Subjects: Symplectic Geometry
    Abstract

    We calculate the character of the Weil representation using previous results
    which express the Weyl symbol of metaplectic operators in terms of the
    symplectic Cayley transform and the Conley--Zehnder index.

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