Spectral-Geometric Construction of Bopp Operators for SU(d) Stratonovich–Weyl Phase-Space Maps

We develop a geometric and operationally explicit construction of correspondence rules (Bopp operators) for s-parametrized Stratonovich–Weyl phase-space symbols associated with symmetric irreducible representations of SU(d). Our main result is an intertwining procedure showing that all s-ordered Bopp operators are generated from the Husimi rules by applying continuous powers of the intertwining operator Υλ(L²). This is illustrated with the cases of SU(2) and SU(3). We show that, unlike the SU(2) case where the rules reduce to first-order vector fields, higher-rank SU(d) systems exhibit genuine higher-order differential contributions. This approach avoids cumbersome group-theoretical calculations, gives a transparent geometric interpretation of the phase-space map, and extends and complements results beyond spin systems.