- 00-358 L. Amour, R. Brummelhuis, J. Nourrigat
- Resonances of the Dirac Hamiltonian in the non relativistic limit
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Sep 12, 00
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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.
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