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We present results for the wave functions and the screening mass spectrum forquantum numbers $0^{++}$, $1^{--}$ and $2^{++}$ in the three-dimensionalSU(2)-Higgs model near to the phase transition line below the endpoint and inthe crossover region. Varying the 3D gauge couplings we study the behaviouralong a line of constant physics towards the continuum limit in both phases. Inthe crossover region the changing spectrum of screening states versustemperature is examined showing the aftermath of the phase transition at lowerHiggs mass. Different to smearing concepts we used large sets of operators withvarious extensions allowing to identify wave functions in position space.Comment: 15 pages, 28 figures, LaTeX2e, document class and class option  svjour.cls and svepj.clo needed, minor stylistic changes in tex

Wave functions and spectrum in hot electroweak matter for large Higgs masses