01-225 Pavel Exner, Hagen Neidhardt, Valentin Zagrebnov

Potential approximations to $\delta'$: an inverse Klauder phenomenon with norm-resolvent convergence (68K, LaTeX 2e) Jun 25, 01

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Abstract. We show that there is a family Schr\"odinger operators with scaled potentials which approximates the $\delta'$-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. [This is a revised version of mp-arc 01-107; to appear in Commun. Math. Phys.]

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