Resonances near thresholds in slightly twisted waveguides
نویسندگان
چکیده
منابع مشابه
Resonances in Twisted Quantum Waveguides
In this paper we consider embedded eigenvalues of a Schrödinger Hamiltonian in a waveguide induced by a symmetric perturbation. It is shown that these eigenvalues become unstable and turn into resonances after twisting of the waveguide. The perturbative expansion of the resonance width is calculated for weakly twisted waveguides and the influence of the twist on resonances in a concrete model i...
متن کاملScattering in Twisted Waveguides
We consider a twisted quantum waveguide, i.e., a domain of the form Ωθ := rθω×R where ω ⊂ R 2 is a bounded domain, and rθ = rθ(x3) is a rotation by the angle θ(x3) depending on the longitudinal variable x3. We investigate the nature of the essential spectrum of the Dirichlet Laplacian Hθ, self-adjoint in L (Ωθ), and consider related scattering problems. First, we show that if the derivative of ...
متن کاملComplex Resonances in Acoustic Waveguides
We consider a two-dimensional innnitely long acoustic waveguide formed by two parallel lines containing an arbitrarily shaped obstacle. The existence of trapped modes that are the eigenfunctions of the Laplace operator in the corresponding domain subject to Neumann boundary conditions was proved by Evans, Levitin & Vassiliev (1994) for obstacles symmetric about the centreline of the waveguide. ...
متن کاملResonances in microstructured optical waveguides.
We propose a simple physical model that predicts the optical properties of a class of microstructured waveguides consisting of high-index inclusions that surround a low-index core. On the basis of this model, it is found that a large regime exists where transmission minima are determined by the geometry of the individual high-index inclusions. The locations of these minima are found to be large...
متن کاملSynchronisation of Resonances with Thresholds
The mechanism by which a resonance may be attracted to a sharp threshold is described with several examples. It involves a threshold cusp interfering constructively with either or both (i) a resonance produced via confinement, (ii) attractive tand u-channel exchanges. More generally, it is suggested that resonances are eigenstates generated by mixing between confined states and long-range meson...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2018
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/14141