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On the approximation by regular potentials of Schr\"odinger operators with point interactions

Artbazar Galtbayar|Kenji Yajima
대한수학회 (The Korean Mathematical Society)|2020.03|대한수학회지 (Journal of the KMS)|제57권 제2호|pp. 429-450|DOI 10.4134/JKMS.j190127

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참고문헌

키워드

Point interactionsselfadjoint extensionsscattering theorywave operators
주제분류수학

초록

We prove that wave operators for Schr\"odinger operators with multi-center local point interactions are scaling limits of the ones for Schr\"odinger operators with regular potentials. We simultaneously present a proof of the corresponding well known result for the resolvent which substantially simplifies the one by Albeverio et al.

Abstract

We prove that wave operators for Schr\"odinger operators with multi-center local point interactions are scaling limits of the ones for Schr\"odinger operators with regular potentials. We simultaneously present a proof of the corresponding well known result for the resolvent which substantially simplifies the one by Albeverio et al.

참고문헌 (14)

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