Communications in Mathematical Physics

, Volume 75, Issue 3, pp 229–238

On the distributions corresponding to bounded operators in the Weyl quantization

  • Ingrid Daubechies
Article

DOI: 10.1007/BF01212710

Cite this article as:
Daubechies, I. Commun.Math. Phys. (1980) 75: 229. doi:10.1007/BF01212710

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.

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Ingrid Daubechies
    • 1
  1. 1.Theoretische NatuurkundeVrije Universiteit BrusselBrusselBelgium