L. Amour, R. Brummelhuis, J. Nourrigat
Resonances of the Dirac Hamiltonian in the non relativistic limit
(58K, Latex)
ABSTRACT. For a Dirac operator in $\R ^3$ with an electric potential
behaving at infinity like a power of $ | x | $, we prove the
existence of
resonances and we study, when $c\rightarrow + \infty $, the
asymptotic
expansion of their real part, and an estimation of their
imaginary part, generalizing an old result of Titchmarsh.