Description of the spectrum of one fourth-order operator matrix;Описание спектра одной операторной матрицы четвертого порядка

DOI10.14498/vsgtu2003MaRDI QIDQ6192914

Unnamed Author, Tulkin H. Rasulov

Publication date: 12 March 2024

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu2003

zbMATH Keywords

Fock spaceessentialoperator matrixannihilation and creation operatorsdiscrete and point spectraunitary equivalent operators

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

• Branches of the essential spectrum of the lattice spin-boson model with at most two photons
• On the structure of the essential spectrum of a model many-body Hamiltonian
• A Hunziker-van Winter-Zhislin theorem for a four-particle lattice Schrödinger operator
• Ground state(s) of the spin-boson Hamiltonian
• 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
• On the Spectrum of a Model Operator in Fock Space
• On the spectrum of the lattice spin-boson Hamiltonian for any coupling: 1D case
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