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Correspondence rules for Wigner functions over SU(3)/U(2)

Alex Clesio Nunes Martins, Andrei B Klimov, Hubert de Guise
2019 Journal of Physics A: Mathematical and Theoretical  

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2019 pre-print arXiv:1905.07597v1 fatcat:6nb3yoxnhravzdupleo4iia3pa
We present results on the * product for SU(3) Wigner functions over SU(3)/U(2). In particular, we present a form of the so-called correspondence rules, which provide a differential form of the * product A*B and A*B when A is an su(3) generator. For the su(3) Wigner map, these rules must contain second order derivatives and thus substantially differ from the rules of other known cases.
doi:10.1088/1751-8121/ab226c fatcat:hepaegucjveo7fa4o7niku4l4e
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Alex Clesio Nunes Martins, Andrei B Klimov, Hubert de Guise. "Correspondence rules for Wigner functions over SU(3)/U(2)." Journal of Physics A: Mathematical and Theoretical 52.28 (2019)