  In this note we aim to characterize the cylindrical Wigner measures
associated to regular quantum states in the Weyl C*-algebra of canonical
commutation relations. In particular, we provide conditions at the quantum
level sufficient to prove the concentration of all the corresponding
cylindrical Wigner measures as Radon measures on suitable topological vector
spaces. The analysis is motivated by variational and dynamical problems in the
semiclassical study of bosonic quantum field theories.
