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On the distributions corresponding to bounded operators in the Weyl quantization

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Abstract

Using properties of an integral transform giving directly the matrix elements of a quantum mechanical operator from the corresponding classical function, we restrict the class of distributions corresponding to bounded operators. As a consequence, we can exhibit a class of functions yielding trace-class operators, and give a bound on their trace-norm.

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Communicated by J. Ginibre

Wetenschappelijk medewerker bij het Interuniversitair Institut voor Kernwetenschappen (in het kader van het navorsingsprojekt 21 EN)

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Daubechies, I. On the distributions corresponding to bounded operators in the Weyl quantization. Commun.Math. Phys. 75, 229–238 (1980). https://doi.org/10.1007/BF01212710

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  • DOI: https://doi.org/10.1007/BF01212710

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