Abstract
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.
Mathematics Subject Classification (2010). 81S30.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Tosiek, J. (2014). States in Deformation Quantization. In: Kielanowski, P., Bieliavsky, P., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-06248-8_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-06248-8_6
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-06247-1
Online ISBN: 978-3-319-06248-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)