States in Deformation Quantization

  • Jaromir TosiekEmail author
Conference paper
Part of the Trends in Mathematics book series (TM)


We consider several tests to check whether a function defined on the phase space of a system represents a quantum state. Our criteria have been obtained from theorems holding for a density operator in the Hilbert space formulation of quantum mechanics. The tests are based on a notion of trace and follow from their Hilbert space counterparts through the Stratonovich– Weyl correspondence.


Deformation quantization density operator Stratonovich–Weyl correspondence Wigner function 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Institute of PhysicsLódź University of TechnologyLódźPoland

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