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Register a new userOn the electron scattering on the one-dimensional complexes: the vertex amplitudes method
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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} $mathbf{Psi}$. All major properties, such as transmission and reflection amplitudes, wave function on the graph, probability current, are expressed in terms of one $mathbf{Gamma}$-matrix that determines the transport through the graph. The transmission resonances are analyzed in detail and comparative analysis with known results is carried out.
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J. Mateos Guilarte
, Jose M. Munoz-Castaneda
, Irina Pirozhenko andn Lucia Santamaria-Sanz
2019
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