  We present results for the wave functions and the screening mass spectrum for
quantum numbers $0^{++}$, $1^{--}$ and $2^{++}$ in the three-dimensional
SU(2)-Higgs model near to the phase transition line below the endpoint and in
the crossover region. Varying the 3D gauge couplings we study the behaviour
along a line of constant physics towards the continuum limit in both phases. In
the crossover region the changing spectrum of screening states versus
temperature is examined showing the aftermath of the phase transition at lower
Higgs mass. Different to smearing concepts we used large sets of operators with
various extensions allowing to identify wave functions in position space.
