2010/12/16 by Alexander F. Klinskikh, A. F. Klinskikh, Anton V. Dolgikh +6
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Lanthanide and Transition Metal Complexes #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Photochemistry and Electron Transfer Studies #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #cond-mat.mes-hall #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.1012.3634
14 pages, 15 figures
openalex publication_date 2010/12/16 · arxiv created 2011/08/31 · arxiv updated 2011/09/01 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28
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 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.