Back to Search
Start Over
Modified Krein Formula and Analytic Perturbation Procedure for Scattering on Arbitrary Junction
Modified Krein Formula and Analytic Perturbation Procedure for Scattering on Arbitrary Junction
- Source :
- Modern Analysis and Applications ISBN: 9783764399184
- Publication Year :
- 2009
- Publisher :
- Birkhäuser Basel, 2009.
-
Abstract
- The single-electron transport through a junction of quantum network is modeled as a specific scattering problem for the Schrodinger operator on the system of semi-infinite cylindrical domains (quantum wires) short-circuited by a compact domain (quantum well or dot). For calculation of the one-body scattering parameters of any junction having form of a compact domain with piece-wise smooth boundary and attached thin wires a semi-analytic perturbation procedure based on a specially selected intrinsic large parameter is suggested. The approximate scattering matrix of a thin junction obtained in this way is the scattering matrix of the corresponding solvable model.
Details
- ISBN :
- 978-3-7643-9918-4
- ISBNs :
- 9783764399184
- Database :
- OpenAIRE
- Journal :
- Modern Analysis and Applications ISBN: 9783764399184
- Accession number :
- edsair.doi...........0398ad802e6e614bc765b06a1db75c34
- Full Text :
- https://doi.org/10.1007/978-3-7643-9919-1_3