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Modified Krein Formula and Analytic Perturbation Procedure for Scattering on Arbitrary Junction

Modified Krein Formula and Analytic Perturbation Procedure for Scattering on Arbitrary Junction

Authors :
Boris Pavlov
V. Adamyan
A. M. Yafyasov
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