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Potential approximations to $\delta'$: an inverse Klauder phenomenon with norm-resolvent convergence

Pavel Exner·Hagen Neidhardt·Valentin Zagrebnov
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Abstract

We show that there is a family Schroedinger 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.

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Pavel Exner, Hagen Neidhardt, Valentin Zagrebnov. 2001-03-22. Potential approximations to $\delta'$: an inverse Klauder phenomenon with norm-resolvent convergence. https://doi.org/10.1007/s002200100567

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