A criterion for absolute continuity of the continuous spectrum of a Hamiltonian system
From MaRDI portal
Publication:1813494
DOI10.1016/0022-247X(90)90245-BzbMath0735.34067MaRDI QIDQ1813494
Publication date: 25 June 1992
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
spectral functionscattering theoryHamiltonian systemabsolutely continuous spectrumTitchmarsh-Weyl functionlimit pointHilbert space operator
Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)
Related Items (9)
Boundedness of solutions for singular Hamiltonian differential systems with applications to deficiency indices ⋮ On the absolutely continuous spectrum of a vector-matrix Dirac system ⋮ Spectral properties of singular discrete linear Hamiltonian systems ⋮ On the rank of the matrix radius of the limiting set for a singular linear Hamiltonian system. ⋮ Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems ⋮ Limit-point criteria for semi-degenerate singular Hamiltonian differential systems with perturbation terms ⋮ Jakšić-Last theorem for higher rank perturbations ⋮ Strong limit-point classification of singular Hamiltonian expressions ⋮ Absolutely continuous spectra for matrix Dirac systems
Cites Work
- On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
- On Titchmarsh-Weyl \(M(\lambda)\)-functions for linear Hamiltonian system
- Disconjugacy
- Discrete and continuous boundary problems
- On Boundary Value Problems for Hamiltonian Systems with Two Singular Points
- Absolutely Continuous Spectra of Second Order Differential Operators with Short and Long Range Potentials
- ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM
- Limit Point Criteria for Differential Equations
- On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A criterion for absolute continuity of the continuous spectrum of a Hamiltonian system
