Two-parametric δ'-interactions: approximation by Schr\"odinger operators with localized rank-two perturbations
classification
🧮 math.SP
math-phmath.MP
keywords
approximationinteractionsalphadeltalocalizedodingeroperatorsperturbations
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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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