Some linear differential expressions for an electron scattering problem in a field of the one-dimentional arbitrary potential
arXiv:cond-mat/9909275
Abstract
The linear system of differential equations for determination of transmission and reflection amplytudes of scattered electron in the field of one dimensional arbitrary potential is obtained. It is shown that in general the scattering problem can be reduced to the Caushy problem for the stationary Shrodinger equation. An explicit functional for a dependance of transmission amplitude from scattered field is found.
13 pages, no figures, to be submitted to Phys. Rev. B