Some linear differential expressions for an electron scattering problem in a field of the one-dimentional arbitrary potential

Details Some linear differential expressions for an electron scattering problem in a field of the one-dimentional arbitrary potential Some linear differential expressions for an electron scattering problem in a field of the one-dimentional arbitrary potential

1999-09-18

arxiv.org/abs/cond-mat/9909275v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, no figures, to be submitted to Phys. Rev. B

Scientific paper

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.

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