Rank One Perturbations, Approximations, and Selfadjoint Extensions
نویسنده
چکیده
of a semibounded selfadjoint operator A are studied with the help of distribution theory. It is shown that such perturbations can be defined for finite values of : even if the element . does not belong to H&1(A). Approximations of the rank one perturbations are constructed in the strong operator topology. It is proven that rank one H&2 perturbations can be defined uniquely for the homogeneous operators. The results are applied to a Schro dinger operator with a delta interaction in dimension 3. 1997 Academic Press
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تاریخ انتشار 1997