On the Levinson theorem for Dirac operators

DOI10.1063/1.528858zbMath0715.47041OpenAlexW2076497170MaRDI QIDQ3202740

Martin Klaus

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10919/47071

zbMATH Keywords

Dirac equationJost functionnumber of bound states in the spectral gaprelativistic version of Levinson's theorem

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) Applications of operator theory to differential and integral equations (47N20)

Related Items (3)

On absence of threshold resonances for Schrödinger and Dirac operators ⋮ High- and low-energy estimates for the Dirac equation ⋮ One-dimensional Dirac operators with zero-range interactions: Spectral, scattering, and topological results

Cites Work

• Oszillationsmethoden für Systeme gewöhnlicher Differentialgleichungen
• ON THE NATURE OF THE SPECTRUM IN PROBLEMS OF RELATIVISTIC QUANTUM MECHANICS
• Proof of the Levinson theorem by the Sturm–Liouville theorem
• Levinson's theorem and Titchmarsh-Weyl m(λ) theory for Dirac systems*
• Exact behavior of Jost functions at low energy
• On the relation between the eigenvalues in relativistic and non-relativistic quantum mechanics

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