Scattering through a straight quantum waveguide with combined boundary conditions

0435972 - ÚJF 2015 US eng J - Článek v odborném periodiku
Briet, Ph. - Dittrich, Jaroslav - Soccorsi, E.
Scattering through a straight quantum waveguide with combined boundary conditions.
Journal of Mathematical Physics. Roč. 55, č. 11 (2014), s. 112104. ISSN 0022-2488. E-ISSN 1089-7658
Grant CEP: GA ČR(CZ) GA14-06818S
Institucionální podpora: RVO:61389005
Klíčová slova: quantum waveguide * scattering * Dirichlet boundary condition * Neumann boundary condition
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 1.243, rok: 2014

Scattering through a straight two-dimensional quantum waveguide R x (0,d) with Dirichlet boundary conditions on x<0, y=0 or x>0, y=d and Neumann boundary condition on x<0, y=d or x>0, 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.
Trvalý link: http://hdl.handle.net/11104/0239817