Potential approximations to δ': an inverse Klauder phenomenon with norm-resolvent convergence
Abstract
We show that there is a family Schroedinger operators with scaled potentials which approximates the δ'-interaction Hamiltonian in the norm-resolvent sense. This approximation, based on a formal scheme proposed by Cheon and Shigehara, has nontrivial convergence properties which are in several respects opposite to those of the Klauder phenomenon.
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