A model in the theory of perturbations of the essential spectrum of multiparticle operators

DOI10.1023/A:1023207220878zbMath1059.81059OpenAlexW93423934MaRDI QIDQ1886130

Saidachmat Lakaev, Tulkin H. Rasulov

Publication date: 15 November 2004

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023207220878

zbMATH Keywords

perturbation theoryHilbert spaceSchrödinger operatoressential spectrumFredholm determinantFock spacemultiparticle operator\(N\)-particle state

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Perturbation theory of linear operators (47A55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (11)

On the spectrum of an Hamiltonian in Fock space. Discrete spectrum asymptotics ⋮ Branches of the essential spectrum of the lattice spin-boson model with at most two photons ⋮ 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 ⋮ Description of the spectrum of one fourth-order operator matrix;Описание спектра одной операторной матрицы четвертого порядка ⋮ Discrete spectrum of a model operator in Fock space ⋮ On the structure of the essential spectrum of a model many-body Hamiltonian ⋮ 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 ⋮ An eigenvalue multiplicity formula for the Schur complement of a \(3\times3\) block operator matrix ⋮ On the spectrum of the lattice spin-boson Hamiltonian for any coupling: 1D case

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