High- and low-energy estimates for the Dirac equation

DOI10.1063/1.531138zbMath0823.35152OpenAlexW1986331851MaRDI QIDQ4836799

Herminio Blancarte, Ricardo Weder, Benoît Grébert

Publication date: 21 June 1995

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

Full work available at URL: https://doi.org/10.1063/1.531138

zbMATH Keywords

radial potentialLevinson's theoremParzen's theoremscattering theory for the Dirac equation

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (8)

On absence of threshold resonances for Schrödinger and Dirac operators ⋮ High‐energy and smoothness asymptotic expansion of the scattering amplitude for the Dirac equation and application ⋮ Resonances for the radial Dirac operators ⋮ High-energy behavior of the scattering amplitude for a Dirac operator ⋮ On the calculation of the discrete spectra of one‐dimensional Dirac operators ⋮ Inverse spectral problem for singular AKNS and Schrödinger operators on \([0,1\).] ⋮ On the one dimensional Dirac equation with potential ⋮ The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates

Cites Work

• On the Levinson theorem for Dirac operators
• Analytic Properties of Radial Wave Functions
• ON THE NATURE OF THE SPECTRUM IN PROBLEMS OF RELATIVISTIC QUANTUM MECHANICS
• Low-energy scattering for medium-range potentials
• Levinson's theorem and Titchmarsh-Weyl m(λ) theory for Dirac systems*
• Exact behavior of Jost functions at low energy
• Inverse scattering for the Dirac operator on the real line
• NOTE ON A PAPER BY TITCHMARSH
• On the Scattering Theory of the Dirac Equation

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