Trace Formulae for Dissipative and Coupled Scattering Systems

DOI10.1007/978-3-7643-8911-6_4zbMath1175.47008arXiv0712.3120OpenAlexW1482998854MaRDI QIDQ3613520

Jussi Behrndt, Hagen Neidhardt, Mark M. Malamud

Publication date: 12 March 2009

Published in: Spectral Theory in Inner Product Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3120

zbMATH Keywords

scattering matrixspectral shift functionboundary tripletscattering systemBirman--Krein formulaTitchmarsh--Weyl function

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Scattering theory of linear operators (47A40) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items (2)

Generalized \(Q\)-functions and Dirichlet-to-Neumann maps for elliptic differential operators ⋮ On spectral properties of dissipative fourth order boundary-value problem with a spectral parameter in the boundary condition

Cites Work

• Weyl function and spectral properties of self-adjoint extensions
• Hankel operators in the perturbation theory of unitary and self-adjoint operators
• Non-unitary scattering and capture. I: Hilbert space theory
• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• The \(\Xi\) operator and its relation to Krein's spectral shift function
• The extension theory of Hermitian operators and the moment problem
• Scattering theory for open quantum systems with finite rank coupling
• Boundary relations and their Weyl families
• Scattering matrices and Weyl functions
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• On unitary couplings of semiunitary operators
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