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arXiv · 1801.09469

Two-parametric $\delta'$-interactions: approximation by Schr\"odinger operators with localized rank-two perturbations

Yuriy Golovaty
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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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BibTeXRIS

Yuriy Golovaty. 2018-01-29. Two-parametric $\delta'$-interactions: approximation by Schr\"odinger operators with localized rank-two perturbations. https://doi.org/10.1088/1751-8121/aac110

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