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Quantitative bounds on the discrete spectrum of non self-adjoint quantum magnetic Hamiltonians
We establish Lieb-Thirring type inequalities for non self-adjoint relatively
compact perturbations of certain operators of mathematical physics. We apply
our results to quantum Hamiltonians of Schr{\"o}dinger and Pauli with constant
magnetic field of strength b\textgreater{}0. In particular, we use these
bounds to obtain some information on the distribution of the eigenvalues of the
perturbed operators in the neighborhood of their essential spectrum.Comment: 11 page
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