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, whose local covariant factors involve only first-order vector fields, higher-rank SU(d) systems exhibit genuine higher-order differential contributions. In both cases the spectral coefficients are functions of L2. 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.