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Moyal Bracket and Ehrenfest’s Theorem in Born–Jordan Quantization

1
Faculty of Mathematics (NuHAG), University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria
2
Department of Mathematical Sciences, NTNU, 7491 Trondheim, Norway
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Author to whom correspondence should be addressed.
Quantum Reports 2019, 1(1), 71-81; https://doi.org/10.3390/quantum1010008
Received: 21 April 2019 / Revised: 8 July 2019 / Accepted: 8 July 2019 / Published: 15 July 2019
The usual Poisson bracket { A , B } can be identified with the so-called Moyal bracket { A , B } M for larger classes of symbols than was previously thought, provided that one uses the Born–Jordan quantization rule instead of the better known Weyl correspondence. We apply our results to a generalized version of Ehrenfest’s theorem on the time evolution of averages of operators. View Full-Text
Keywords: Ehrenfest’s theorem; Born-Jordan quantization; Moyal bracket Ehrenfest’s theorem; Born-Jordan quantization; Moyal bracket
MDPI and ACS Style

de Gosson, M.; Luef, F. Moyal Bracket and Ehrenfest’s Theorem in Born–Jordan Quantization. Quantum Reports 2019, 1, 71-81.

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