On the spectrum of the three-particle Hamiltonian on a unidimensional lattice

DOI10.3103/S1055134415030013zbMath1374.81052OpenAlexW2183562169MaRDI QIDQ2959152

N. M. Aliev, M. E. Muminov

Publication date: 9 February 2017

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134415030013

zbMATH Keywords

compact operatoressential spectrumdiscrete spectrumthree-particle system on a latticeSchrodinger operator

Mathematics Subject Classification ID

Three-body problems (70F07) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

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• The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice
• Schrödinger operators on lattices. The Efimov effect and discrete spectrum asymptotics
• Spectrum of the three-particle Schrödinger operator on a one-dimensional lattice
• ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR
• Essential and discrete spectra of the three-particle Schrödinger operator on a lattice

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