Physics of Spectral Singularities
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Publication:3460597
DOI10.1007/978-3-319-18212-4_10zbMath1337.34088arXiv1412.0454OpenAlexW2170745633MaRDI QIDQ3460597
Publication date: 8 January 2016
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.0454
scatteringcomplex potentiallaserspectral singularity\(\mathcal{PT}\)-symmetrypseudo-Hermitian operatorzero-width resonanceantilaser
General spectral theory of ordinary differential operators (34L05) Lasers, masers, optical bistability, nonlinear optics (78A60) Scattering theory of linear operators (47A40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)
Related Items (8)
Bifurcations of essential spectra generated by a small non-Hermitian hole. I: Meromorphic continuations ⋮ Composition of transfer matrices for potentials with overlapping support ⋮ FINITE SYSTEM OF DISCRETE STURM-LIOUVILLE EQUATIONS WITH SPECTRAL SINGULARITIES AND A GENERAL BOUNDARY CONDITION ⋮ Spectral singularities in the TE and TM modes of a \(\mathcal{PT}\)-symmetric slab system: optimal conditions for realizing a CPA-laser ⋮ On perturbation of thresholds in essential spectrum under coexistence of virtual level and spectral singularity ⋮ Hermitizable, isospectral complex second-order differential operators ⋮ Exact solution of the two-dimensional scattering problem for a class of δ-function potentials supported on subsets of a line ⋮ Spacing gain and absorption in a simple $ \newcommand{\PT}{\mathcal{PT}} \PT$ -symmetric model: spectral singularities and ladders of eigenvalues and resonances
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