P Kuchment - Waves in random media, 2002 - iopscience.iop.org
A brief survey on graph models for wave propagation in thin structures is presented. Such models arise in many areas of mathematics, physics, chemistry and engineering (dynamical …
W Bulla, F Gesztesy, W Renger, B Simon - Proceedings of the American …, 1997 - ams.org
We study the eigenvalue spectrum of Dirichlet Laplacians which model quantum waveguides associated with tubular regions outside of a bounded domain. Intuitively, our …
S Washburn, RA Webb - Reports on Progress in Physics, 1992 - iopscience.iop.org
The authors review conductance effects in small samples at low temperatures where quantum confinement and quantum interference are significant perturbations on the …
P Exner, P Šeba, M Tater, D Vaněk - Journal of Mathematical Physics, 1996 - pubs.aip.org
We consider a pair of parallel straight quantum waveguides coupled laterally through a window of a width l in the common boundary. We show that such a system has at least one …
This book is a synthesis of recent advances in the spectral theory of the magnetic Schrödinger operator. It can be considered a catalog of concrete examples of magnetic …
The spectrum of the Laplace operator in a curved strip of constant width built along an infinite plane curve, subject to three different types of boundary conditions (Dirichlet …
M Dauge, N Raymond - Journal of Mathematical Physics, 2012 - pubs.aip.org
The plane waveguides with corners considered here are infinite V-shaped strips with constant thickness. They are parametrized by their sole opening angle. We study the …
AA Lyapina, AS Pilipchuk, AF Sadreev - Journal of Sound and Vibration, 2018 - Elsevier
We consider acoustic wave transmission in a non-axisymmetric waveguide which consists of a cylindrical resonator and two cylindrical waveguides whose axes are shifted relatively to …
W Renger, W Bulla - Letters in Mathematical Physics, 1995 - Springer
The existence of bound states in a plane quantum waveguide is proved under weak conditions: Within a bounded set a more general shape than a curved parallel strip is …