Resonances of the Dirac Hamiltonian in the Non Relativistic Limit

Abstract

For a Dirac operator in IR 3 with an electric potential behaving at innnity like a power of jxj, we prove the existence of resonances and we study, when c ! +1, the asymptotic expansion of their real part, and an estimation of their imaginary part, generalizing an old result of Titchmarsh. 

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