Absolute continuity in periodically bent and twisted tubes
Alessandra A. Verri, Carlos R. Mamani · arXiv (Cornell University) · 2015
Consider the Dirichlet Laplacian operator in a periodic tube $\Omega$. We show that its spectrum is purely absolutely continuous provided that $\Omega$ is sufficiently thin. In particular, our result covers the case where $\Omega$ presents simultaneously the bend and twist effects.