Conditions for the existence of eigenvalues of a three-particle lattice model Hamiltonian

DOI10.3103/s1066369x23070010OpenAlexW4388640779MaRDI QIDQ6197835

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Publication date: 19 February 2024

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

Full work available at URL: https://doi.org/10.3103/s1066369x23070010

zbMATH Keywords

latticeperturbationspectrumFriedrichs modelmodel Hamiltoniannonlocal potentialtensor sum

Mathematics Subject Classification ID

General theory of linear operators (47Axx) General mathematical topics and methods in quantum theory (81Qxx) Miscellaneous applications of operator theory (47Nxx)

Cites Work

• The finiteness of the discrete spectrum of a model operator associated with a system of three particles on a lattice
• Expression for the number of eigenvalues of a Friedrichs model
• The threshold effects for a family of Friedrichs models under rank one perturbations
• On the number of eigenvalues of a model operator associated to a system of three-particles on lattices
• Analysis of the discrete Spectrum of the family SPECTRUM of \(3\times 3\) operator matrices
• Infinite number of eigenvalues of \(2\times 2\) operator matrices: asymptotic discrete spectrum
• On the spectrum of an Hamiltonian in Fock space. Discrete spectrum asymptotics
• The essential and discrete spectrum of a model operator associated to a system of three identical quantum particles
• Исследование числовой области значений одной операторной матрицы
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