  One major purpose of studying the single-site scattering problem is to obtain
the scattering matrices and differential equation solutions indispensable to
multiple scattering theory (MST) calculations. On the other hand, the
single-site scattering itself is also appealing because it reveals the physical
environment experienced by electrons around the scattering center. In this
paper we demonstrate a new formalism to calculate the relativistic
full-potential single-site Green's function. We implement this method to
calculate the single-site density of states and electron charge densities. The
code is rigorously tested and with the help of Krein's theorem, the
relativistic effects and full potential effects in group V elements and noble
metals are thoroughly investigated.
