Superoscillations and supershifts in phase space: Wigner and Husimi function interpretations

DOI10.1088/1751-8113/47/31/315203zbMath1295.42001OpenAlexW2020276052MaRDI QIDQ2877413

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Publication date: 22 August 2014

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

Full work available at URL: https://semanticscholar.org/paper/324f8fba396d07b111193f13a08c591654821a8e

zbMATH Keywords

windowed Fourier transformphase spacewavenumberweak measurementHusimi functionlocal Fourier transformlocal Wigner average

Mathematics Subject Classification ID

Quantum optics (81V80) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Coherent states (81R30) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Quantum measurement theory, state operations, state preparations (81P15) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

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Evolution of superoscillations in a relativistic wavepacket ⋮ Yield statistics of interpolated superoscillations ⋮ Escaping superoscillations ⋮ Repeated differentiation suppresses superoscillations

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