Levinson's theorem and Titchmarsh-Weyl m(λ) theory for Dirac systems*

DOI10.1017/S0308210500026743zbMath0652.34030MaRDI QIDQ3797516

J. K. Shaw, Martin Klaus, Don B. Hinton

Publication date: 1988

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

zbMATH Keywords

Dirac systemTitchmarsh-Weyl m-function

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Ordinary differential operators (34L99)

Related Items (7)

Wave scattering in one dimension with absorption ⋮ Resonances for the radial Dirac operators ⋮ On the Levinson theorem for Dirac operators ⋮ High- and low-energy estimates for the Dirac equation ⋮ Resonances for Dirac operators on the half-line ⋮ On the Titchmarsh-Weyl M(λ)-coefficient and spectral density for a Dirac system ⋮ Asymptotic phase, asymptotic modulus, and Titchmarsh-Weyl coefficient for a Dirac system

Cites Work

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• Spectral theory of ordinary differential operators
• ABSOLUTELY CONTINUOUS SPECTRA OF DIRAC SYSTEMS WITH LONG RANGE, SHORT RANGE AND OSCILLATING POTENTIALS
• On the number of eigenvalues in the spectral gap of a Dirac system

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