On the embedded eigenvalues for the self-adjoint operators with singular perturbations.

DOI10.3836/TJM/1244208857zbMath1055.47014OpenAlexW2056217601MaRDI QIDQ1812488

Kazuo Watanabe

Publication date: 12 October 2003

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208857

zbMATH Keywords

self-adjoint operatorsfinite rank perturbationsscale of Hilbert spaces

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Cites Work

• Resolvent formulas of general type and its application to point interactions
• Rank one perturbations with infinitesimal coupling
• Smooth perturbations the self–adjoint operators defined by the ℋ︁_–2–construction
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