The essential spectrum of the three-particle discrete operator corresponding to a system of three fermions on a lattice

DOI10.3103/S1066369X17090080zbMath1382.81099OpenAlexW2753309641MaRDI QIDQ1695298

A. M. Khalkhuzhaev

Publication date: 7 February 2018

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

Full work available at URL: https://doi.org/10.3103/s1066369x17090080

zbMATH Keywords

eigenvalueessential spectrumspectral propertythree-particle Schrödinger operatorHamiltonian for a system of three fermions

Mathematics Subject Classification ID

Three-body problems (70F07) General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (2)

Existence condition for the eigenvalue of a three-particle Schrödinger operator on a lattice ⋮ The number of eigenvalues of the three-particle Schrödinger operator on three dimensional lattice

Cites Work

• Unnamed Item
• Unnamed Item
• Spectrum of the two-particle Schrödinger operator on a lattice
• The number of eigenvalues of the two-particle discrete Schrödinger operator
• Clustering operators
• On the structure of the essential spectrum for the three-particle Schrödinger operators on lattices

This page was built for publication: The essential spectrum of the three-particle discrete operator corresponding to a system of three fermions on a lattice