Schrödinger evolution of superoscillations under different potentials

DOI10.1007/s40509-018-0161-2zbMath1402.81121OpenAlexW2793154214MaRDI QIDQ1621572

Y. Aharonov

Publication date: 9 November 2018

Published in: Quantum Studies: Mathematics and Foundations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40509-018-0161-2

zbMATH Keywords

Schrödinger equationpotentialsevolution of superoscillations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (15)

Superoscillating sequences and supershifts for families of generalized functions ⋮ Classes of superoscillating functions ⋮ Continuity of some operators arising in the theory of superoscillations ⋮ Evolution of superoscillations in the Dirac field ⋮ A unified approach to Schrödinger evolution of superoscillations and supershifts ⋮ Persistence of superoscillations under the Schrödinger equation ⋮ Superoscillations and analytic extension in Schur analysis ⋮ On the generating functions and special functions associated with superoscillations ⋮ Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations ⋮ Holomorphic functions, relativistic sum, Blaschke products and superoscillations ⋮ How superoscillating tunneling waves can overcome the step potential ⋮ Evolution by Schrödinger equation of Aharonov–Berry superoscillations in centrifugal potential ⋮ Superoscillating sequences and hyperfunctions ⋮ Evolution of superoscillations in the Klein-Gordon field ⋮ Evolution of Aharonov-Berry superoscillations in Dirac \(\delta\)-potential

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