Abstract.
For a Dirac operator in \( {\Bbb R}^3 \), 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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Submitted 05/06/00, accepted 20/07/00
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Amour, L., Brummelhuis, R. & Nourrigat, J. Resonances of the Dirac Hamiltonian in the Non Relativistic Limit. Ann. Henri Poincaré 2, 583–603 (2001). https://doi.org/10.1007/PL00001047
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DOI: https://doi.org/10.1007/PL00001047