The theory of nuclear fission is considered. The relation between the single particle potential of the asymmetric two-center shell model and the collective coordinates in the fission theory is studied. Theoretical expressions are developed to show the dependence of the coordinates of the centers of the two centers oscillator on the various collective parameters. Numerical calculations are carried out using the present obtained theoretical expressions. From these calculations, the dependences of the different oscillator frequencies on the collective coordinates are investigated. The present study shows the great importance of that dependence in the nuclear fission process.