Spectral properties of a Hamiltonian of a four-particle system on a lattice

DOI10.3103/S1066369X10120030zbMath1238.47052OpenAlexW1966718004MaRDI QIDQ646824

U. R. Shodiev, M. E. Muminov

Publication date: 18 November 2011

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

Full work available at URL: https://doi.org/10.3103/s1066369x10120030

zbMATH Keywords

Schrödinger operatorcompact operatoressential spectrum4-particle Hamiltonian

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Schrödinger operator, Schrödinger equation (35J10) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

• Spectrum of a model operator in the perturbation theory of the essential spectrum
• On the finiteness of the discrete spectrum of four-particle lattice Schrödinger operators
• Schrödinger operators on lattices. The Efimov effect and discrete spectrum asymptotics
• Essential and discrete spectra of the three-particle Schrödinger operator on a lattice
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