Resonances of the Dirac Hamiltonian in the non relativistic limit

Authors
Amour, L Brummelhuis, R Nourrigat, J
Citation
L. Amour et al., Resonances of the Dirac Hamiltonian in the non relativistic limit, ANN HENRI P, 2(3), 2001, pp. 583-603
Citations number
17
Categorie Soggetti
Physics
Journal title
ANNALES HENRI POINCARE
ISSN journal
14240637 → ACNP
Volume
2
Issue
3
Year of publication
2001
Pages
583 - 603
Database
ISI
SICI code
1424-0637(2001)2:3<583:ROTDHI>2.0.ZU;2-M
Abstract
For a Dirac operator in IR3, with an electric potential behaving at infinit y like a power of lad, we prove the existence of resonances and we study, w hen c --> +infinity, the asymptotic expansion of their real part, and an es timation of their imaginary part, generalizing an old result of Titchmarsh.