Spectral analysis of the Direct Sum Hamiltonian Operators

DOI10.2989/16073606.2015.1134697OpenAlexW2481113100MaRDI QIDQ5236026

Ekin Ugurlu, Bilender P. Allahverdiev

Publication date: 15 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2015.1134697

zbMATH Keywords

characteristic functionscattering matrixHamiltonian systemcompleteness theoremdissipative operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenvalue problems for linear operators (47A75) Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45) Scattering theory of linear operators (47A40) Linear accretive operators, dissipative operators, etc. (47B44) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (3)

Spectral expansion for the singular Dirac system with impulsive conditions ⋮ Characterization of self-adjoint domains for two-interval even order singular \(C\)-symmetric differential operators in direct sum spaces ⋮ Completeness theorem for eigenparameter dependent dissipative Dirac operator with general transfer conditions

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