Geodesic
Resonances and tunneling in a quantum wire
Teoretičeskaâ i matematičeskaâ fizika, Tome 147 (2006) no. 1, pp. 92-102 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a problem in mathematical scattering theory related to the ballistic conductance model. The model under investigation describes the charge propagation in a quantum wire. We assume that the charge carrier has a spin and take the Rashba spin-orbital interaction into account. We study the conductance resonances generated by the weak quantum-wire interaction with the quasistationary state of a parallel-connected quantum dot or with the tunneling through a series-connected quantum dot. Such a quantum dot is usually the control element. We present sufficient conditions for the spatial symmetry of the system to ensure that the quasistationary state of the quantum dot generates a conductance resonance. We assume that the conductance is related to the scattering matrix by the Landauer formula.
Keywords: resonance, quantum wire, ballistic conductance. 
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     author = {A. A. Arsen'ev},
     title = {Resonances and tunneling in a~quantum wire},
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A. A. Arsen'ev. Resonances and tunneling in a quantum wire. Teoretičeskaâ i matematičeskaâ fizika, Tome 147 (2006) no. 1, pp. 92-102. http://geodesic.mathdoc.fr/item/TMF_2006_147_1_a6/

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