Spectrum and scattering in a ``spin-boson model with not more than three photons

DOI10.1007/BF02069784zbMath0863.47056OpenAlexW1500099314MaRDI QIDQ1920608

Yu. V. Zhukov, Robert Adol'fovich Minlos

Publication date: 12 August 1996

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

Full work available at URL: https://doi.org/10.1007/bf02069784

zbMATH Keywords

scattering theoryasymptotic completenesswave operatorsradiative decay with a fixed atom and not more than three photonsspectral analysis of the Hamiltonian

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) (n)-body potential quantum scattering theory (81U10) Many-body theory; quantum Hall effect (81V70) Scattering theory of linear operators (47A40)

Related Items (16)

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 ⋮ Investigation of the spectrum of a model operator in a Fock space ⋮ On the eigenvalues of a 2ˣ2 block operator matrix ⋮ Description of the spectrum of one fourth-order operator matrix;Описание спектра одной операторной матрицы четвертого порядка ⋮ Infinite number of eigenvalues of \(2\times 2\) operator matrices: asymptotic discrete spectrum ⋮ Discrete spectrum of a model operator in Fock space ⋮ Spectral analysis of the spin-boson Hamiltonian with two bosons for arbitrary coupling and bounded dispersion relation ⋮ On the structure of the essential spectrum of a model many-body Hamiltonian ⋮ Spectral analysis of the spin-boson Hamiltonian with two photons for arbitrary coupling ⋮ The Faddeev equation and the essential spectrum of a model operator associated with the Hamiltonian of a nonconserved number of particles ⋮ On the number of eigenvalues of a matrix operator ⋮ Study of the essential spectrum of a matrix operator ⋮ On the discrete spectrum of a model operator in fermionic Fock space ⋮ Lower spectral branches of a spin-boson model ⋮ On the spectrum of the lattice spin-boson Hamiltonian for any coupling: 1D case

Cites Work

• Ground state(s) of the spin-boson Hamiltonian
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectrum and scattering in a ``spin-boson model with not more than three photons