Diana C. S. Bello

Spectral properties of the Dirichlet Laplacian in twisted and sheared waveguides

Abstract In this work, we analyze the Dirichlet Laplacian $$-\Delta _{\Omega }^D$$ - Δ Ω D in an unbounded waveguide $$\Omega \subset \mathbb {R}^3$$ Ω ⊂ R 3 , where the cross section is translated in a constant direction and rotated along a spatial line. We focus on the effects...