Report
On the electron scattering on the one-dimensional complexes: the vertex amplitudes method
| العنوان: | On the electron scattering on the one-dimensional complexes: the vertex amplitudes method |
|---|---|
| المؤلفون: | Klinskikh, Alexander F., Dolgikh, Anton V., Meleshenko, Peter A., Sviridov, Sergey A. |
| سنة النشر: | 2010 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics Quantum Physics |
| مصطلحات موضوعية: | Mathematical Physics, Condensed Matter - Mesoscale and Nanoscale Physics, Quantum Physics |
| الوصف: | 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. Comment: 14 pages, 15 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1012.3634 |
| رقم الانضمام: | edsarx.1012.3634 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |