Maurice de Gosson
Preferred Quantization Rules: Born-Jordan vs. Weyl: the Pseudo-Differential Point of View.
Mon, 02/28/2011 - 16:01 — SomNambulAuthors: Maurice de Gosson, Franz Luef
Subjects: Mathematical Physics
AbstractThere 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.On the Use of Minimum Volume Ellipsoids and Symplectic Capacities for Studying Classical Uncertainties for Joint Position-Momentum Measurements.
Tue, 08/31/2010 - 15:01 — SomNambulAuthors: Maurice de Gosson
Subjects: Mathematical Physics
AbstractWe study the minimum volume ellipsoid estimator associates to a cloud of
points in phase space. Using as a natural measure of uncertainty the symplectic
capacity of the covariance ellipsoid we find that classical uncertainties obey
relations similar to those found in non-standard quantum mechanics.The Pseudo-Character of the Weil Representation and its Relation with the Conley-Zehnder Index.
Wed, 09/09/2009 - 22:08 — SomNambulAuthors: Maurice de Gosson, Franz Luef
Subjects: Symplectic Geometry
AbstractWe 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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