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• W3106083503 abstract "For real bounded functions Phi and Psi of compact support, we prove the norm resolvent convergence, as epsilon and nu tend to 0, of a family of one-dimensional Schroedinger operators on the line of the form S_{epsilon, nu}= -D^2+alphaepsilon^{-2}Phi(epsilon^{-1}x)+betanu^{-1}Psi(nu^{-1}x), provided the ratio nu/epsilon has a finite or infinity limit. The limit operator S_0 depends on the shape of Phi and Psi as well as on the limit of ratio nu/epsilon. If the potential alphaPhi possesses a zero-energy resonance, then S_0 describes a non trivial point interaction at the origin. Otherwise S_0 is the direct sum of the Dirichlet half-line Schroedinger operators." @default.
• W3106083503 created "2020-11-23" @default.
• W3106083503 creator A5023393130 @default.
• W3106083503 date "2012-12-22" @default.
• W3106083503 modified "2023-10-14" @default.
• W3106083503 title "1D Schrödinger Operators with Short Range Interactions: Two-Scale Regularization of Distributional Potentials" @default.
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• W3106083503 doi "https://doi.org/10.1007/s00020-012-2027-z" @default.
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