Absolute continuity of the spectrum in a twisted Dirichlet-Neumann waveguide

Philippe Briet (1, 2) , J Dittrich (3) , D Krejčiřík (4)

1 CPT - Centre de Physique Théorique - UMR 7332
2 CPT - E8 Dynamique quantique et analyse spectrale
3 Nuclear Physics Institute [Prague]
4 CTU - Czech Technical University in Prague

Quantum waveguide with the shape of planar infinite straight strip and combined Dirichlet and Neumann boundary conditions on the opposite half-lines of the boundary is considered. The absence of the point as well as of the singular continuous spectrum is proved.

Domaines: Théorie spectrale [math.SP]

Philippe Briet, J Dittrich, D Krejčiřík. Absolute continuity of the spectrum in a twisted Dirichlet-Neumann waveguide. Journal of Mathematical Physics, 2020, 61 (1), pp.013503. ⟨10.1063/1.5114994⟩. ⟨hal-02457711⟩