====== TTP05-09 Corrections of order $\beta_0^3\alpha_s^3$ to the energy levels and wave function ====== One of the most important tasks of a future linear collider is the precise measurement of the threshold production cross section of top quark pairs. In order to match the expected experimental precision it is necessary to perform theoretical predictions which include corrections up to third order in perturbation theory. In this contribution we report about the corrections of order $\beta_0^3\alpha_s^3$ to the heavy quark spectrum and wave function. Physical applications both for the top and bottom quark system are discussed. |**Matthias Steinhauser** | | {{preprints:2005:ttp05-09.pdf|PDF}} {{preprints:2005:ttp05-09.ps|PostScript}} | | |