The spectrum of the Hamiltonian of a system of three quantum particles on a lattice

DOI10.1070/RM1999V054N06ABEH000240zbMath1004.81014OpenAlexW1992413165MaRDI QIDQ4515827

M. Kh. Shermatov, Saidachmat Lakaev

Publication date: 23 November 2000

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1999v054n06abeh000240

zbMATH Keywords

essential spectrumThomas effectEfimov effectFaddeev-Newton integral equation

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) (n)-body potential quantum scattering theory (81U10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (3)

On finiteness of discrete spectrum of three-particle Schrödinger operator on a lattice ⋮ The existence of bound states in a system of three particles in an optical lattice ⋮ The Faddeev equation and the essential spectrum of a model operator associated with the Hamiltonian of a nonconserved number of particles

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