Scattering through a straight quantum waveguide with combined boundary conditions

Scattering through a straight two-dimensional quantum waveguide Rx(0,d) with Dirichlet boundary conditions on (-\infty,0)x{y=0} \cup (0,\infty)x{y=d} and Neumann boundary condition on (-infty,0)x{y=d} \cup (0,\infty)x{y=0} is considered using stationary scattering theory. The existence of a matching...

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Bibliographic Details
Published in:arXiv.org 2014-08
Main Authors: Briet, Ph, Dittrich, J, Soccorsi, E
Format: Article
Language:English
Subjects:
Boundary conditions
Dirichlet problem
Matching
Scattering
Transition probabilities
Wave packets
Online Access:Get full text
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Summary:Scattering through a straight two-dimensional quantum waveguide Rx(0,d) with Dirichlet boundary conditions on (-\infty,0)x{y=0} \cup (0,\infty)x{y=d} and Neumann boundary condition on (-infty,0)x{y=d} \cup (0,\infty)x{y=0} is considered using stationary scattering theory. The existence of a matching conditions solution at x=0 is proved. The use of stationary scattering theory is justified showing its relation to the wave packets motion. As an illustration, the matching conditions are also solved numerically and the transition probabilities are shown.
ISSN:2331-8422
DOI:10.48550/arxiv.1408.3958