Excited resonance widths for Helmholtz resonators with straight neck

Excited resonance widths for Helmholtz resonators with straight neck

We consider resonances associated with excited eigenvalues of the cavity of a general Helmholtz resonator with straight neck. Under the assumption that the neck stays away from the nodal set of the corresponding eigenstate, we generalise the optimal exponential lower bound on the width of the resona...

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Veröffentlicht in:Journal of spectral theory 2020-01, Vol.10 (2), p.561-580
Hauptverfasser: Duyckaerts, Thomas, Grigis, Alain, Martinez, André
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Mathematics
Partial differential equations
Quantum theory
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creator Duyckaerts, Thomas
Grigis, Alain
Martinez, André
description We consider resonances associated with excited eigenvalues of the cavity of a general Helmholtz resonator with straight neck. Under the assumption that the neck stays away from the nodal set of the corresponding eigenstate, we generalise the optimal exponential lower bound on the width of the resonance, that we have obtained in a previous paper for the ground resonance only.
doi_str_mv 10.4171/JST/304
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subjects Mathematics
Partial differential equations
Quantum theory
title Excited resonance widths for Helmholtz resonators with straight neck
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