Spectrum of a model three-particle Schrödinger operator

DOI10.1134/S0040577916020100zbMath1338.81198OpenAlexW2316101023MaRDI QIDQ292823

Yusup Khalbaevich Eshkabilov

Publication date: 9 June 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577916020100

zbMATH Keywords

Schrödinger operatorspectrumessential spectrumdiscrete spectrum

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) 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) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• Unnamed Item
• Unnamed Item
• On the number of eigenvalues of a model operator associated to a system of three-particles on lattices
• A discrete ``three-particle Schrödinger operator in the Hubbard model
• The Iorio-O'Carroll theorem for an \(N\)-particle lattice Hamiltonian
• Asymptotics of the discrete spectrum of a model operator associated with a system of three particles on a lattice
• The Efimov effect for a model ``three-particle discrete Schrödinger operator
• Spectra of partial integral operators with a kernel of three variables
• On some integral equations in Hilbert space with an application to the theory of elasticity
• On the discrete spectrum of partial integral operators
• Partially integral operators with bounded kernels
• LOWER SPECTRAL BRANCHES OF A PARTICLE COUPLED TO A BOSE FIELD
• Scattering theory for a class of two-particle operators of mathematical physics (the case of weak interaction)
• Essential and discrete spectra of the three-particle Schrödinger operator on a lattice

This page was built for publication: Spectrum of a model three-particle Schrödinger operator