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Title: Scattering through a straight quantum waveguide with combined boundary conditions

Scattering through a straight two-dimensional quantum waveguide R×(0,d) with Dirichlet boundary conditions on (R{sub −}{sup *}×(y=0))∪(R{sub +}{sup *}×(y=d)) and Neumann boundary condition on (R{sub −}{sup *}×(y=d))∪(R{sub +}{sup *}×(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.
Authors:
;  [1] ;  [2]
  1. Aix-Marseille Université, CNRS, CPT UMR 7332, 13288 Marseille, France and Université de Toulon, CNRS, CPT UMR 7332, 83957 La Garde (France)
  2. Nuclear Physics Institute ASCR, CZ-250 68 Řež (Czech Republic)
Publication Date:
OSTI Identifier:
22403048
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 11; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUNDARY CONDITIONS; DIRICHLET PROBLEM; MATHEMATICAL SOLUTIONS; SCATTERING; TWO-DIMENSIONAL CALCULATIONS; WAVE PACKETS; WAVEGUIDES