Singularly perturbed self-adjoint operators in scales of Hilbert spaces

DOI10.1007/s11253-007-0051-yzbMath1150.47013arXivmath-ph/0702057OpenAlexW2026940036MaRDI QIDQ3505415

Sergio A. Albeverio, Sergei Kuzhel, Leonid P. Nizhnik

Publication date: 18 June 2008

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0702057

zbMATH Keywords

selfadjoint extensionboundary value spacepurely singular perturbationmixed singular perturbation

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)

Related Items (5)

Generalized spin-boson models with non-normalizable form factors ⋮ Local Casimir effect for a scalar field in presence of a point impurity ⋮ Self-adjointness of a class of multi-spin-boson models with ultraviolet divergences ⋮ On symmetries in the theory of finite rank singular perturbations ⋮ The closed extensions of a closed operator

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