Eigenvalues and bands imbedded in the continuous spectrum for a system of resonators and a waveguide: Solvable model

DOI10.1016/0375-9601(96)00643-3zbMath0972.81534OpenAlexW1992875604MaRDI QIDQ1968018

S. L. Popova, Igor Yu. Popov

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(96)00643-3

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (4)

On the point and continuous spectra for coupled quantum waveguides and resonators ⋮ Asymptotics of bound state for laterally coupled waveguides. ⋮ A model of a boundary composed of the Helmholtz resonators ⋮ Asymptotics of resonances and bound states for laterally coupled curved quantum waveguides

Cites Work

• Trapped modes in open channels
• Trapped modes in a circular cylindrical acoustic waveguide
• The extension theory and the opening in semitransparent surface
• The resonator with narrow slit and the model based on the operator extensions theory
• Existence theorems for trapped modes
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