In this work we present an analytical and numerical result of the dielectric function of electronic systems
with Rashba spin-orbit interaction. By solving the quantum equation of motion for the electron density
matrix, we obtained the dielectric function in the mean-field approximation. It is shown that when the
momentum transfer q for an electronic transition is smaller than a critical value characterized by the spinorbit
interaction, the static dielectric function increases with q, indicating on-set of a new collective state.