Communications in Mathematical Physics

, Volume 75, Issue 3, pp 229-238

First online:

On the distributions corresponding to bounded operators in the Weyl quantization

  • Ingrid DaubechiesAffiliated withTheoretische Natuurkunde, Vrije Universiteit Brussel

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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.