Senbeta, Teshome (PhD)Gemechu, Belay2018-06-192023-11-092018-06-192023-11-092016-08http://10.90.10.223:4000/handle/123456789/1736We have studied the spin orbit-coupling from the Dirac equation, Understanding the properties of electronic states in quantum wires is a central issue in nanoscience. In the ballistic region, with low electronic densities, electron-electron interactions are not very important, and wire conductance is determined by the transmission of electrons as independent particles and the effects of spin-orbit interaction (SOI) on the energy bands,a system of two dimensional equations with respect to the spinor components "#(t), in the case of = 0, 6= 0 and ballistic conductanceenTwo-Dimension Electron GasThesis