On the electron scattering on the one-dimensional complexes: the vertex amplitudes method

The problem of electron scattering on the one-dimensional complexes is considered. We propose a novel theoretical approach to solution of the transport problem for a quantum graph. In the frame of the developed approach the solution of the transport problem is equivalent to the solution of a linear system of equations for the \emph{vertex amplitudes} $\mathbfΨ$. All major properties, such as transmission and reflection amplitudes, wave function on the graph, probability current, are expressed in terms of one $\mathbfΓ$-matrix that determines the transport through the graph. The transmission resonances are analyzed in detail and comparative analysis with known results is carried out.

No reviews yet.

No comments yet.