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On the absolutely continuous spectrum of Dirac operator

Mathematical Physics 2007-05-23 v1 Analysis of PDEs math.MP

Abstract

We prove that the massless Dirac operator in R3\mathbb{R^3} 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.

Keywords

Cite

@article{arxiv.math-ph/0309033,
  title  = {On the absolutely continuous spectrum of Dirac operator},
  author = {S. A. Denisov},
  journal= {arXiv preprint arXiv:math-ph/0309033},
  year   = {2007}
}

Comments

21 pages

R2 v1 2026-07-22T16:23:21.706Z