- 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.]