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Two-parametric $δ'$-interactions: approximation by Schrödinger operators with localized rank-two perturbations (1801.09469v2)

Published 29 Jan 2018 in math.SP, math-ph, and math.MP

Abstract: We construct a norm resolvent approximation to the family of point interactions $f(+0)=\alpha f(-0)+\beta f'(-0)$, $f'(+0)=\alpha{-1}f'(-0)$ by Schr\"odinger operators with localized rank-two perturbations coupled with short range potentials. In particular, a new approximation to the $\delta'$-interactions is obtained.

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