ON THE CONTINUOUS-SPECTRUM OF THE DIRAC OPERATOR - WEYL FORMULA, NONRELATIVISTIC LIMIT

Authors
BRUNEAU V
Citation
V. Bruneau, ON THE CONTINUOUS-SPECTRUM OF THE DIRAC OPERATOR - WEYL FORMULA, NONRELATIVISTIC LIMIT, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(1), 1996, pp. 43-48
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
1
Year of publication
1996
Pages
43 - 48
Database
ISI
SICI code
0764-4442(1996)322:1<43:OTCOTD>2.0.ZU;2-9
Abstract
First of all, we display a new Weyl formula. That is, we study the asy mptotic behavior of the scattering-phase (or Spectral Shift Function) for the Dirac operator with electromagnetic field. A non-relativistic limit result is also obtained for the scattering phase. The first step is to split the positive and negative parts of the energy. Then, we c an adapt techniques used by Robert for Schrodinger operators.