On a quantum hydrodynamic model for a photovoltaic cell

Abstract

We present a theoretical model for the behavior of the propagation of electrons in a photovoltaic cell with some Bohm quantum potential corrections. The system describes the dynamic of the electron density and the current density functions. A numerical solution for the 1-dimensional case based on the method of the backward finite differences is given. Also, some analytical solutions for 3-dimensional case are proposed.