Linear differential equations for the one-dimensional scattering problem
Д. М. Седракян, А. Ж. Хачатрян
The transmission and reflection amplitudes of an electron moving in a one dimensional potential of arbitrary form are obtained using the transfer matrix method. It is shown that the one-dimensional scattering problem, in its most general form, can be reduced to Cauchy problem for a set of two linear differential equations.
Annalen der Physik•Aug 1, 2002•7 citations