Spectral concentration near embedded eigenvalues

DOI10.1016/0022-247X(90)90239-CzbMath0721.47004OpenAlexW2022830132MaRDI QIDQ2640841

W. M. Greenlee

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90239-c

zbMATH Keywords

finite multiplicityembedded eigenvaluesRayleigh-Schrödinger perturbation theoryperturbation of isolated eigenvaluessemibounded casespectral concentration near eigenvalues which are not assumed to be isolated

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (2)

Resonances under rank-one perturbations ⋮ A note on spectral concentration for non-isolated eigenvalues

Cites Work

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• Stability theorems for singular perturbation of eigenvalues
• Puiseux series for resonances at an imbedded eigenvalue
• Singular perturbation of simple eigenvalues
• Spectral concentration for self-adjoint operators
• On spectral concentration for semi-bounded operators
• Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory

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