'Thomas process' is a name used for a family of singular two-step processes that can lead to electron transfer. The Thomas process of the 'second kind', occurring in reactions with both transfer and ionization, utilizes the e-e scattering in the second step, so this Thomas process requires the dynamics of the electron-electron interaction. In this thesis the second order transition amplitude and differential cross sections for the transfer ionization process is calculate numerically for the first time. It is found that the position and shape of Thomas peak depend on both electron-electron and the electron-nucleus interaction. Also the direct and exchange amplitudes are equal at the peak position. The peaking approximation used for transfer ionization is tested. The results are compared to experimental results for p+ + He → H + He2+ + e--
