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20002009
most citedThe Multi-Dimensional Hardy Uncertainty Principle and its Interpretation in Terms of the Wigner Distribution; Relation With the Notion of Symplectic Capacity

6 citations · 17 across the 14 of their papers we have counts for

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Showing 2005 · math.SGShow all

3 papers · 2 filters

math.SG2005★ 1 cited

Schrödinger Equation in Phase Space and Deformation Quantization

Maurice De Gosson

We justify the relevance of Torres-Vega Schrödinger equation in phase space using Stone-von Neumann's theorem, and relate it to deformation quantization.

math.SG2005

Extended Weyl Calculus and Application to the Phase-Space Schrödinger Equation

Maurice De Gosson

We show that the Schrödinger equation in phase space proposed by Torres-Vega and Frederick is canonical in the sense that it is a natural consequence of the extended Weyl calculus…

math.SG2005★ 2 cited

On the Weyl Representation of Metaplectic Operators

Maurice De Gosson

We study the Weyl representation of metaplectic operators associated to a symplectic matrix having no non-trivial fixed point, and justify a formula suggested in earlier work of Me…