On the approximation by regular potentials of Schrodinger operators with point interactions
J. Korean Math. Soc.
Published online July 17, 2019
Artbazar Galtbayar and Kenji Yajima
National University of Mongolia, Gakushuin University, Tokyo
Abstract : We prove that the wave operators for Schr\"odinger operators with multi-center local point interactions are the 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.
Keywords : Point interactions, selfadjoint extensions, scattering theory, wave operators
MSC numbers : 47A10, 81Q10, 81Uxx
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