On kernels of invariant Schrödinger operators with point interactions. Grinevich-Novikov conjecture

DOI10.1134/S1064562424701904MaRDI QIDQ6575363

V. V. Marchenko, M. M. Malamud

Publication date: 19 July 2024

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

invariant operatorsSchrödinger operators with point interactionsKrein realizationmultiplicity of zero eigenvalue

Mathematics Subject Classification ID

Elliptic equations and elliptic systems (35Jxx) General theory of linear operators (47Axx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

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• Two-dimensional rational solitons and their blowup via the Moutard transformation
• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• Multipoint scatterers with bound states at zero energy
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• Invariant Schrödinger operators with point interactions at the vertices of a regular polyhedron
• Two-dimensional Schrödinger operators with fast decaying potential and multidimensional $ L_2$-kernel
• Radial positive definite functions and spectral theory of the Schrödinger operators with point interactions
• Spectral inequality for Schrödinger's equation with multipoint potential

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