QUANTUM TRANSPORT THEORY FOR ATOMIC STATES THROUGH SOLIDS D.G. Arbo$^{a,b,c}$, C.O. Reinhold$^{a,b}$, S. Yoshida$^{a,b}$, and J. Burgdorfer$^{a,b,d}$ $^a$Oak Ridge National Laboratory, Oak Ridge, Tennessee, USA $^b$University of Tennessee, Knoxville, Tennessee, USA $^c$Instituto de Astronomia y Fisica del Espacio, Buenos Aires, Argentina $^d$Vienna University of Technology, Vienna, Austria A quantum description for the evolution of atomic states of fast projectiles traveling through matter is developed. We present applications to (i) the stripping of relativistic H$^-$ and H and (ii) the population dynamics of electronic substates of Ar$^{17+}$ ions after transmission through carbon foils.