Resonances in twisted quantum waveguides

Abstract

In this paper we consider embedded eigenvalues of a Schroedinger 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 is discussed in detail.

15 Pages

References in corpus (3)

• Bound states in weakly deformed strips and layers
• Stability of the magnetic Schrödinger operator in a waveguide
• Open quantum dots: resonances from perturbed symmetry and bound states in strong magnetic fields

Cited by in corpus (6)

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• On the spectrum and weakly effective operator for Dirichlet Laplacian in thin deformed tubes
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• Effect of quasi-bound states on coherent electron transport in twisted nanowires
• Fermi's golden rule in tunneling models with quantum waveguides perturbed by Kato class measures
• Straight quantum layer with impurities inducing resonances