On the spectrum of the discrete bilaplacian with rank-one perturbation

DOI10.7546/giq-26-2023-39-52MaRDI QIDQ6587970

Mardon Pardabaev, Firdavs Almuratov

Publication date: 15 August 2024

zbMATH Keywords

asymptoticsexpansioneigenvaluesessential spectrumdiscrete spectrumdiscrete bilaplacian

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Cites Work

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• The existence and asymptotics of eigenvalues of Schrödinger operator on two dimensional lattices
• Second order symmetries of the conformal Laplacian
• ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR

Related Items (1)

The coupling constant threshold effects for one-particle Schrödinger-type operators in lattice

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