We will discuss a deterministic approximation for charged transport model of Boltzmann Poisson type along electronic bands. This is a kinetic model of hot electron flow in a graph given by computed energy bands and the scattering mechanisms for the collisional structure such as Fermi's golden rule for symmetric bands or full scattering forms for general numerical bands structure. Simulations of semiconductor models will be shown and well as applications to an inverse problem for doping profile reconstruction for nano scale semiconductor devices and electron-hole transport for semiconductor/electrolyte interface reaction problem as a prototype modeling of solar/fuel cells.