Semi-Classical Limit of a Schr?dinger Equationfor a Stratified Material

 We study the semi-classical limit of the dynamic of electrons in a stratified medium. The medium is assumed to be periodic in one direction and slowly varying in the other directions. In this case, a small parameter ɛ is introduced and corresponds both to the Planck constant and to scaled lattice thickness. The limit behavior is studied by means of Wigner measures. The limit process is described by infinitely many transport (Vlasov) equations.