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• W3131013450 abstract "Superoscillating functions and supershifts appear naturally in weak measurements in physics. Their evolution as initial conditions in the time dependent Schrodinger equation is an important and challenging problem in quantum mechanics and mathematical analysis. The concept that encodes the persistence of superoscillations during the evolution is the (more general) supershift property of the solution. In this paper we give a unified approach to determine the supershift property for the solution of the time dependent Schrodinger equation. The main advantage and novelty of our results is that they only require suitable estimates and regularity assumptions on the Green's function, but not its explicit form. With this efficient general technique we are able to treat various potentials." @default.
• W3131013450 created "2021-03-01" @default.
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• W3131013450 date "2021-02-23" @default.
• W3131013450 modified "2023-09-27" @default.
• W3131013450 title "A unified approach to Schrodinger evolution of superoscillations and supershifts" @default.
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• W3131013450 hasPublicationYear "2021" @default.
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