Main properties of the Faddeev equation for \(2 \times 2\) operator matrices

DOI10.3103/S1066369X2312006XMaRDI QIDQ6549008

E. B. Dilmurodov, T. Kh. Rasulov

Publication date: 3 June 2024

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectrumBirman-Schwinger principleoperator matrixFaddeev equationoperator valued function

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) General theory of linear operators (47Axx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

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• Existence and analyticity of eigenvalues of a two-channel molecular resonance model
• The finiteness of the discrete spectrum of a model operator associated with a system of three particles on a lattice
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• The Faddeev equation and the location of the essential spectrum of a model multi-particle operator
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• Embedded eigenvalues and resonances of a generalized Friedrichs model
• Spectral properties of the generalized Friedrichs model
• The Faddeev equation and the essential spectrum of a model operator associated with the Hamiltonian of a nonconserved number of particles
• Über die Spektralzerlegung eines Integraloperators
• Perturbation of a lattice spectral band by a nearby resonance
• On the perturbation of continuous spectra

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