Bound states of the Schrödinger operator of a system of three bosons on a lattice

DOI10.1134/S0040577916070035zbMath1348.81238arXiv1508.07581OpenAlexW3105750066MaRDI QIDQ329893

A. R. Khalmukhamedov, A. M. Khalkhuzhaev, Saidachmat Lakaev

Publication date: 24 October 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07581

zbMATH Keywords

latticeeigenvalueessential spectrumdiscrete Schrödinger operatorbound statecontact couplingthree-particle system

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (2)

Invariant subspaces and eigenvalues of the three-particle discrete Schrödinger operators ⋮ On the existence of eigenvalues of the three-particle discrete Schrödinger operator

Cites Work

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• The Efimov effect. Discrete spectrum asymptotics
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• Schrödinger operators on lattices. The Efimov effect and discrete spectrum asymptotics
• Spectrum of the three-particle Schrödinger operator on a one-dimensional lattice
• Asymptotic behavior of an eigenvalue of the two-particle discrete Schrödinger operator
• ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR

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