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

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.

preprint2001arXivOpen access
Pavel ExnerHagen NeidhardtValentin Zagrebnov
math-phmath.MPquant-ph
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Pavel ExnerHagen NeidhardtValentin Zagrebnov

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