Positivity of eigenvalues of the two-particle Schrödinger operator on a lattice

DOI10.1007/S11232-014-0146-1zbMath1298.81086OpenAlexW1987567411MaRDI QIDQ461607

Sh. U. Alladustov, Saidachmat Lakaev

Publication date: 13 October 2014

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

Full work available at URL: https://doi.org/10.1007/s11232-014-0146-1

zbMATH Keywords

latticeeigenvalueHamiltoniandiscrete Schrödinger operatorvirtual levelrepulsive interactionsystem quasimomentum

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Discrete version of topics in analysis (39A12) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (3)

Threshold effects in a two-fermion system on an optical lattice ⋮ Existence of bound states of N-body problem in an optical lattice ⋮ Threshold phenomena in the spectrum of the two-particle Schrödinger operator on a lattice

Cites Work

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• Existence and analyticity of bound states of a two-particle Schrödinger operator on a lattice
• The threshold effects for the two-particle Hamiltonians on lattices
• Positivity of the two-particle Hamiltonian on a lattice
• The virtual level of the Schrödinger equation
• The Efimov effect. Discrete spectrum asymptotics
• On Efimov's effect in a system of three identical quantum particles
• Schrödinger operators on lattices. The Efimov effect and discrete spectrum asymptotics
• Bounds on the discrete spectrum of lattice Schrödinger operators
• The number of eigenvalues of three-particle Schrödinger operators on lattices

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