Construction of Aharonov–Berry's superoscillations

DOI10.1088/1751-8113/40/19/013zbMath1115.81035OpenAlexW2087835579MaRDI QIDQ5293903

Achim Kempf, Manuel J. C. S. Reis, Paulo Jorge S. G. Ferreira

Publication date: 4 July 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/40/19/013

Mathematics Subject Classification ID

Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (10)

Four aspects of superoscillations ⋮ Evolution of superoscillations for spinning particles ⋮ An approach to constructing super oscillatory functions ⋮ On recovery of discrete time signals with single-point spectrum degeneracy ⋮ The general theory of superoscillations and supershifts in several variables ⋮ Integral representation of superoscillations via complex Borel measures and their convergence ⋮ Beyond superoscillation: general theory of approximation with bandlimited functions ⋮ Quantum non-barking dogs ⋮ On causal extrapolation of sequences with applications to forecasting ⋮ Superoscillations

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