О существенном спектре одного модельного оператора, ассоциированного с системой трeх частиц на решeтке

DOI10.14498/vsgtu796zbMath1449.81021OpenAlexW2320730361MaRDI QIDQ4959997

Tulkin H. Rasulov

Publication date: 8 April 2020

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu796

zbMATH Keywords

essential spectrumHilbert-Schmidt classmodel operatorFriedrichs modelFaddeev equation

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

• The Faddeev equation and the location of the essential spectrum of a model multi-particle operator
• On the number of eigenvalues of a model operator associated to a system of three-particles on lattices
• A discrete ``three-particle Schrödinger operator in the Hubbard model
• Schrödinger operators on lattices. The Efimov effect and discrete spectrum asymptotics
• Asymptotics of the discrete spectrum of a model operator associated with a system of three particles on a lattice
• The essential and discrete spectrum of a model operator associated to a system of three identical quantum particles
• On the structure of the essential spectrum for the three-particle Schrödinger operators on lattices
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