On the absolutely continuous spectrum of Dirac operator

2003/09/13 by S. A. Denisov, Denisov, S. A. · 1 citation
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0309033

21 pages

arxiv created 2003/09/13 · arxiv updated 2009/12/01

Abstract

We prove that the massless Dirac operator in \mathbbR³ with long-range potential has an a.c. spectrum which fills the whole real line. The Dirac operators with matrix-valued potentials are considered as well.

Cited by

• On the Spectrum of Schrödinger Operators Interacting at Two Distinct Scales

Related

• Spherically symmetric Dirac operators with variable mass and potentials infinite at infinity
• Remarks on the spectrum of the Dirac operator
• Absence of embedded eigenvalues of Pauli and Dirac operators
• Singular Continuous Spectrum of rotationally symmetric Dirac operators - Singulärstetiges Spektrum kugelsymmetrischer Diracoperatoren
• Dirac spectrum and spectral action of SU(3)