Toward the rank-one singular perturbation theory of self-adjoint operators

DOI10.1007/BF01067286zbMath0755.47010MaRDI QIDQ1185179

Volodymyr Koshmanenko

Publication date: 28 June 1992

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

zbMATH Keywords

Laplace operatorselfadjoint operatorsingular perturbation problemDirac \(\delta\)-functionrank-one singular perturbationsselfadjoint extensions of semibounded symmetric operators

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Dilations, extensions, compressions of linear operators (47A20) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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ON THE PROBLEM OF THE RIGHT HAMILTONIAN UNDER SINGULAR FORM-SUM PERTURBATIONS ⋮ New aspects of Krein's extension theory ⋮ Rank one perturbations, approximations, and selfadjoint extensions ⋮ On form-sum approximations of singularly perturbed positive self-adjoint operators ⋮ On characteristic properties of singular operators ⋮ Schrödinger operators with singular rank-two perturbations and point interactions

Cites Work

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