We present results for the wave functions and the screening mass spectrum f
or quantum numbers 0(++), 1(--) and 2(++) in the three-dimensional SU(2)-Hi
ggs model near to the phase transition line below the endpoint and in the c
rossover region. Varying the 3D gauge couplings we study the behaviour alon
g a line of constant physics towards the continuum limit in both phases. In
the crossover region the changing spectrum of screening states versus temp
erature 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 spa
ce.