The finiteness of the discrete spectrum of a model operator associated with a system of three particles on a lattice

DOI10.3103/S1066369X1401006XzbMath1298.47009OpenAlexW1985604967MaRDI QIDQ463775

R. T. Mukhitdinov, Tulkin H. Rasulov

Publication date: 17 October 2014

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

Full work available at URL: https://doi.org/10.3103/s1066369x1401006x

zbMATH Keywords

Hilbert-Schmidt classdiscrete spectrumnonlocal potentialcontinuity in the uniform operator topologyWeinberg equation

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (1)

Conditions for the existence of eigenvalues of a three-particle lattice model Hamiltonian

Cites Work

• Unnamed Item
• Unnamed Item
• On the number of eigenvalues of a model operator associated to a system of three-particles on lattices
• Finiteness of the discrete spectrum of the three-particle Schrödinger equation on a lattice
• 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
• Exact solutions for semirelativistic problems with non-local potentials
• The absence of positive energy bound states for a class of nonlocal potentials
• Essential and discrete spectra of the three-particle Schrödinger operator on a lattice

This page was built for publication: The finiteness of the discrete spectrum of a model operator associated with a system of three particles on a lattice