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Non-positivity of Groenewold operators
A central feature in the Hilbert space formulation of classical mechanics is the quantisation of classical Liouville densities, leading to what may be termed term Groenewold operators. We investigate the spectra of the Groenewold operators that correspond to Gaussian and to certain uniform Liouville densities. We show that when the classical coordinatemomentum uncertainty product falls below He...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2019
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2019.v26.n2.a9