Convergent expansions of eigenvalues of the generalized Friedrichs model with a rank-one perturbation

DOI10.1007/s11785-021-01157-9zbMath1480.81047arXiv2004.08815OpenAlexW3210188332MaRDI QIDQ2054443

Sh. Kh. Kurbanov, Sh. U. Alladustov, Saidachmat Lakaev

Publication date: 2 December 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08815

zbMATH Keywords

Hamiltoniandispersion relationthreshold resonancethreshold eigenvaluegeneralized Friedrichs modelcoupling constant threshold

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Convergence and divergence of series and sequences (40A05) Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Resonance in context of PDEs (35B34) Dispersion theory, dispersion relations arising in quantum theory (81U30) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (3)

The number and location of eigenvalues for the two-particle Schrödinger operators on lattices ⋮ On the number and locations of eigenvalues of the discrete Schrödinger operator on a lattice ⋮ Puiseux series expansion for eigenvalue of the generalized Friedrichs model with the perturbation of rank one

Cites Work

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