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.
CITATION STYLE
Tosiek, J. (2014). States in deformation quantization. In Trends in Mathematics (Vol. 64, pp. 67–76). Springer International Publishing. https://doi.org/10.1007/978-3-319-06248-8_6
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