Existence condition for the eigenvalue of a three-particle Schrödinger operator on a lattice

DOI10.3103/s1066369x23020019zbMath1528.81145OpenAlexW4378650266MaRDI QIDQ6132618

A. M. Khalkhuzhaev, Janikul I. Abdullaev, I. A. Khujamiyorov

Publication date: 14 July 2023

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

Full work available at URL: https://doi.org/10.3103/s1066369x23020019

zbMATH Keywords

eigenvalueHamiltonianinvariant subspacezero-range potentialfermionquasimomentumFaddeev operatorSchrödinger operator on lattice

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Invariant subspaces of linear operators (47A15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Fermionic systems in quantum theory (81V74)

Cites Work

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• Spectrum of the two-particle Schrödinger operator on a lattice
• The Efimov effect. Discrete spectrum asymptotics
• On Efimov's effect in a system of three identical quantum particles
• Efimov effect for a three-particle system with two identical fermions
• The essential spectrum of the three-particle discrete operator corresponding to a system of three fermions on a lattice
• Spectral analysis of the \(2+1\) fermionic trimer with contact interactions
• Schrödinger operators on lattices. The Efimov effect and discrete spectrum asymptotics
• A system of three quantum particles with point-like interactions
• Three resonating fermions in flatland: proof of the super Efimov effect and the exact discrete spectrum asymptotics
• On the number of eigenvalues of a model operator related to a system of three particles on lattices
• Existence of an isolated band in a system of three particles in an optical lattice
• ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR
• The existence of bound states in a system of three particles in an optical lattice

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