This thesis presents the research results of a quantum dot coupled to a conduction band with spin-orbit coupling (SOC), Specifically, a simgle electron transistor (SET). We study the dependence of the Kondo temperature and the thermoelectric transport properties with SOC. The problem is modeled as a single impurity Anderson model in the presence of the conduction band spin-orbit interaction. The SOC mixes the spins of the conducting electrons, and as a consequence, the SU(2) spin symmetry of the Anderson Hamiltonian is broken. We recover the Anderson Hamiltonian SU(2) symmetry through a rotation of the system’s spins along with rˆ axis, where the ground state of the problem can be considered the Kondo many-body singlet state. On this quantization axis, the Anderson Hamiltonian can be rewritten in the same way as the original Anderson Hamiltonian, with which we obtain a continuous dens...