Scattering through a straight quantum waveguide with combined boundary conditions

Journal Article · Sat Nov 15 00:00:00 EST 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4901547· OSTI ID:22403048

Briet, Ph., E-mail: [e-mail]; Soccorsi, E., E-mail: [e-mail] ^[1]; Dittrich, J., E-mail: [e-mail] ^[2]

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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)

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.

• OSTI ID: 22403048
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 11; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
DIRICHLET PROBLEM
MATHEMATICAL SOLUTIONS
SCATTERING
TWO-DIMENSIONAL CALCULATIONS
WAVE PACKETS
WAVEGUIDES