Investigation of the spectrum of a model operator in a Fock space

DOI10.1007/s11232-009-0133-0zbMath1183.81066OpenAlexW2017735329MaRDI QIDQ847890

Tulkin H. Rasulov

Publication date: 19 February 2010

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

Full work available at URL: https://doi.org/10.1007/s11232-009-0133-0

zbMATH Keywords

essential spectrummodel operatorchannel operatorFaddeev equationsystem with nonconserved finite number of particles

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70)

Related Items (2)

The Faddeev equation and the essential spectrum of a model operator associated with the Hamiltonian of a nonconserved number of particles ⋮ Study of the essential spectrum of a matrix operator

Cites Work

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• 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
• A Hunziker-van Winter-Zhislin theorem for a four-particle lattice Schrödinger operator
• Efimov's effect in a model of perturbation theory of the essential spectrum
• 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
• Discrete spectrum of a model operator in Fock space
• The Faddeev Equation and Essential Spectrum of a Hamiltonian in Fock Space
• Essential and discrete spectra of the three-particle Schrödinger operator on a lattice

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