On the number of eigenvalues of a model operator associated to a system of three-particles on lattices

DOI10.1134/S1061920807040024zbMath1176.81045OpenAlexW2019220573MaRDI QIDQ1033729

Zahriddin I. Muminov, Sergio A. Albeverio, Saidachmat Lakaev

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920807040024

Mathematics Subject Classification ID

Three-body problems (70F07) Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Statistical mechanics of solids (82D20)

Related Items (14)

Spectral Properties of Self-Adjoint Partially Integral Operators with Non-Degenerate Kernels ⋮ Spectrum of a model three-particle Schrödinger operator ⋮ On the eigenvalues of a 2ˣ2 block operator matrix ⋮ Essential spectrum of a model operator associated with a three-particle system on a lattice ⋮ On the number of negative eigenvalues of a partial integral operator ⋮ On the spectral properties of selfadjoint partial integral operators with a nondegenerate kernel ⋮ On the essential and the discrete spectra of a Fredholm type partial integral operator ⋮ Conditions for the existence of eigenvalues of a three-particle lattice model Hamiltonian ⋮ About the spectral properties of one three-partial model operator ⋮ Asymptotics of the discrete spectrum of a model operator associated with a system of three particles on a lattice ⋮ Essential and discrete spectra of the three-particle Schrödinger operator on a lattice ⋮ The finiteness of the discrete spectrum of a model operator associated with a system of three particles on a lattice ⋮ Уравнение Фаддеева и местоположение существенного спектра одного трeхчастичного модельного оператора ⋮ О существенном спектре одного модельного оператора, ассоциированного с системой трeх частиц на решeтке

Cites Work

• The threshold effects for a family of Friedrichs models under rank one perturbations
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• The Efimov effect. Discrete spectrum asymptotics
• On Efimov's effect in a system of three identical quantum particles
• The Efimov effect and an extended Szegő-Kac limit theorem
• Scattering theory: some old and new problems
• Schrödinger operators on lattices. The Efimov effect and discrete spectrum asymptotics
• ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR
• On the structure of the essential spectrum for the three-particle Schrödinger operators on lattices
• On the perturbation of continuous spectra
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