On a \(\mathcal{PT}\)-symmetric waveguide with a pair of small holes
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Publication:2447020
DOI10.1134/S0081543813050027zbMath1321.47166MaRDI QIDQ2447020
Publication date: 23 April 2014
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Applications of operator theory in the physical sciences (47N50) Quantum dots, waveguides, ratchets, etc. (81Q37)
Related Items (9)
The emergence of eigenvalues of a \(\mathcal{PT}\)-symmetric operator in a thin strip ⋮ Norm resolvent convergence of elliptic operators in domains with thin spikes ⋮ Bifurcations of essential spectra generated by a small non-Hermitian hole. I: Meromorphic continuations ⋮ On local perturbations of waveguides ⋮ The norm resolvent convergence for elliptic operators in multi-dimensional domains with small holes ⋮ Approximation of point interactions by geometric perturbations in two-dimensional domains ⋮ Simplest graphs with small edges: asymptotics for resolvents and holomorphic dependence of spectrum ⋮ On elliptic operators with Steklov condition perturbed by Dirichlet condition on a small part of boundary ⋮ Convergence of eigenfunctions of a Steklov-type problem in a half-strip with a small hole
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