Classes of superoscillating functions
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Publication:1621566
DOI10.1007/s40509-018-0156-zzbMath1402.81122OpenAlexW2791627543WikidataQ130209467 ScholiaQ130209467MaRDI QIDQ1621566
Irene Sabadini, Yakir Aharonov, Jeff Tollaksen, Alain Yger
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/s40509-018-0156-z
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)
Related Items (18)
Superoscillating sequences and supershifts for families of generalized functions ⋮ Continuity of some operators arising in the theory of superoscillations ⋮ Schrödinger evolution of superoscillations under different potentials ⋮ Evolution of superoscillations in the Dirac field ⋮ Evolution of superoscillations for spinning particles ⋮ A unified approach to Schrödinger evolution of superoscillations and supershifts ⋮ Gauss sums, superoscillations and the Talbot carpet ⋮ Superoscillations and analytic extension in Schur analysis ⋮ On the generating functions and special functions associated with superoscillations ⋮ The general theory of superoscillations and supershifts in several variables ⋮ Integral representation of superoscillations via complex Borel measures and their convergence ⋮ 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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