Asymptotics of the spectral density for radial Dirac operators with divergent potentials

DOI10.2977/prims/1207921078zbMath1149.34055OpenAlexW1993633313MaRDI QIDQ928392

Michael S. P. Eastham, Karl Michael Schmidt

Publication date: 18 June 2008

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1207921078

zbMATH Keywords

Dirac operatorspectral densityspectral concentrationspectral matrix

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items

On the asymptotics of the spectral density of radial Dirac operators with divergent potential ⋮ Ballistic dynamics of Dirac particles in electro-magnetic fields ⋮ Spectral properties of rotationally symmetric massless Dirac operators

Cites Work

• Unnamed Item
• Spectral theory of ordinary differential operators
• The asymptotic solution of linear differential systems
• Absolutely continuous spectrum of Dirac systems with potentials infinite at infinity
• Absence of high-energy spectral concentration for Dirac systems with divergent potentials
• Spherically symmetric Dirac operators with variable mass and potentials infinite at infinity

This page was built for publication: Asymptotics of the spectral density for radial Dirac operators with divergent potentials