  We present the application of variational-wavelet analysis to
numerical/analytical calculations of Wigner functions in (nonlinear)
quasiclassical beam dynamics problems. (Naive) deformation quantization and
multiresolution representations are the key points. We construct the
representation via multiscale expansions in generalized coherent states or
high-localized nonlinear eigenmodes in the base of compactly supported wavelets
and wavelet packets.
