Curvature-induced bound states in quantum waveguides in two and three dimensions

P Duclos, P Exner - Reviews in Mathematical Physics, 1995 - World Scientific
Dirichlet Laplacian on curved tubes of a constant cross section in two and three dimensions
is investigated. It is shown that if the tube is non-straight and its curvature vanishes …

Graph models for waves in thin structures

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 …

Weakly coupled bound states in quantum waveguides

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 …

Quantum transport in small disordered samples from the diffusive to the ballistic regime

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 …

Bound states and scattering in quantum waveguides coupled laterally through a boundary window

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 …

[图书][B] Bound states of the magnetic Schrödinger operator

N Raymond - 2017 - ems.press
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 …

On the spectrum of curved planar waveguides

D Krejcirık, J Krız - Publ. Res. Inst. Math. Sci, 2005 - ems.press
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 …

Plane waveguides with corners in the small angle limit

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 …

Trapped modes in a non-axisymmetric cylindrical waveguide

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 …

Existence of bound states in quantum waveguides under weak conditions

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 …