On the Titchmarsh-Weyl M(λ)-coefficient and spectral density for a Dirac system

DOI10.1017/S0308210500024434zbMath0719.34141MaRDI QIDQ5751253

Dominic P. Clemence

Publication date: 1990

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirac operatorspectral theoryhalf-bound state pointsTitchmarsh-Weyl matrix coefficient

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05)

Cites Work

• Unnamed Item
• Spectral properties of Dirac operators with singular potentials
• On Titchmarsh-Weyl \(M(\lambda)\)-functions for linear Hamiltonian system
• Hamiltonian systems of limit point or limit circle type with both endpoints singular
• On Boundary Value Problems for Hamiltonian Systems with Two Singular Points
• ABSOLUTELY CONTINUOUS SPECTRA OF DIRAC SYSTEMS WITH LONG RANGE, SHORT RANGE AND OSCILLATING POTENTIALS
• Low-energy scattering for medium-range potentials
• Dirac Systems with Discrete Spectra
• Levinson's theorem and Titchmarsh-Weyl m(λ) theory for Dirac systems*
• Exact behavior of Jost functions at low energy
• Low-energy behaviour of the scattering matrix for the Schrodinger equation on the line
• ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM, II
• On the number of eigenvalues in the spectral gap of a Dirac system
• ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM

This page was built for publication: On the Titchmarsh-Weyl M(λ)-coefficient and spectral density for a Dirac system