Abstract: Schrodinger wave equation is solved in TF Statistical potential including modification of electronic self-interaction for arbitrary temperature and matter density. In order to deal with relativistic effects on atom, relativistic mass-velocity correction, relativistic Darwin correction and spin-orbit coupling correction are introduced into the wave equation. Calculations are presented for Fe, Rb at a few temperature and various densities and comparison with more accurate one's is made in tables. The datas obtained by present method show our results may be compared even with one of relativistic HFS model.

Key words: TF Statistical potential, modification of electronic self-interaction, mass-velocity correction, Darwin Correction, Spin-orhit coupling correction