Study of the essential spectrum of a matrix operator

DOI10.1007/s11232-010-0070-yzbMath1256.81048OpenAlexW2008012383MaRDI QIDQ2276465

Tulkin H. Rasulov

Publication date: 5 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11232-010-0070-y

zbMATH Keywords

eigenvalueessential spectrumFock spacematrix operatorgeneralized Friedrichs modelsystem with a nonconserved finite number of particles

Mathematics Subject Classification ID

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) Many-body theory; quantum Hall effect (81V70)

Cites Work

• Unnamed Item
• Unnamed Item
• Spectrum of a model operator in the perturbation theory of the essential spectrum
• Investigation of the spectrum of a model operator in a Fock space
• On the structure of the essential spectrum of a model many-body Hamiltonian
• The Faddeev equation and the location of the essential spectrum of a model multi-particle operator
• On the finiteness of the discrete spectrum of a four-particle lattice Schrödinger operator
• A model in the theory of perturbations of the essential spectrum of multiparticle operators
• Spectrum and scattering in a ``spin-boson model with not more than three photons
• On the spectrum of an Hamiltonian in Fock space. Discrete spectrum asymptotics
• The essential and discrete spectrum of a model operator associated to a system of three identical quantum particles
• Discrete spectrum of a model operator in Fock space
• On the structure of the essential spectrum for the three-particle Schrödinger operators on lattices

This page was built for publication: Study of the essential spectrum of a matrix operator