Abstract
Historically, correspondence rules and quantum quasi-distributions were motivated by classical mechanics as a guide for obtaining quantum operators and quantum corrections to classical results. In this paper, we start with quantum mechanics and show how to derive the infinite number of quantum quasi-distributions and corresponding c-functions. An interesting aspect of our approach is that it shows how the c-numbers of position and momentum arise from the quantum operator.
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Ben-Benjamin, J.S., Cohen, L. & Scully, M.O. From von Neumann to Wigner and beyond. Eur. Phys. J. Spec. Top. 227, 2171–2182 (2019). https://doi.org/10.1140/epjst/e2018-800063-2
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DOI: https://doi.org/10.1140/epjst/e2018-800063-2