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Distant perturbations of the Laplacian in a multi-dimensional space
We consider the Laplacian in perturbed by a finite number of
distant perturbations those are abstract localized operators. We study the
asymptotic behaviour of the discrete spectrum as the distances between
perturbations tend to infinity. The main results are the convergence theorem
and the asymptotics expansions for the eigenelements. Some examples of the
possible distant perturbations are given; they are potential, second order
differential operator, magnetic Schrodinger operator, integral operator, and
\d-potential
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