Correspondence rules for Wigner functions over SU(3)/U(2)
Mathematical Physics
2019-06-25 v1 math.MP
Quantum Physics
Abstract
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.
Cite
@article{arxiv.1905.07597,
title = {Correspondence rules for Wigner functions over SU(3)/U(2)},
author = {Alex Clesio Nunes Martins and Andrei B. Klimov and Hubert de Guise},
journal= {arXiv preprint arXiv:1905.07597},
year = {2019}
}
Comments
To appear in J. Phys. A: Math. Theor