On the spectrum of magnetic Dirac operators with Coulomb-type perturbations

Details On the spectrum of magnetic Dirac operators with Coulomb-type perturbations On the spectrum of magnetic Dirac operators with Coulomb-type perturbations

2006-11-26

arxiv.org/abs/math-ph/0611072v1

Physics

Mathematical Physics

13 pages

Scientific paper

We carry out the spectral analysis of singular matrix valued perturbations of 3-dimensional Dirac operators with variable magnetic field of constant direction. Under suitable assumptions on the magnetic field and on the perturbations, we obtain a limiting absorption principle, we prove the absence of singular continuous spectrum in certain intervals and state properties of the point spectrum. Constant, periodic as well as diverging magnetic fields are covered, and Coulomb potentials up to the physical nuclear charge Z<137 are allowed. The importance of an internal-type operator (a 2-dimensional Dirac operator) is also revealed in our study. The proofs rely on commutator methods.

Affiliated with

Also associated with

No associations

Rating

On the spectrum of magnetic Dirac operators with Coulomb-type perturbations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the spectrum of magnetic Dirac operators with Coulomb-type perturbations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the spectrum of magnetic Dirac operators with Coulomb-type perturbations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-23687