32 citations · 193 across the 48 of their papers we have counts for
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math-ph2009★ 27 cited
A Deformation Quantization Theory for Non-Commutative Quantum Mechanics
N. C. Dias, M. A. de Gosson, F. Luef +1
We show that the deformation quantization of non-commutative quantum mechanics previously considered by Dias and Prata can be expressed as a Weyl calculus on a double phase space.…
math.SG2009★ 1 cited
The Pseudo-Character of the Weil Representation and its Relation with the Conley-Zehnder Index
Maurice de Gosson, Franz Luef
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…
math-ph2009★ 12 cited
On the Usefulness of Modulation Spaces in Deformation Quantization
Maurice de Gosson, Franz Luef
We discuss the relevance to deformation quantization of Feichtinger's modulation spaces, especially of the weighted Sjoestrand classes. These function spaces are good classes of sy…