New methods for creating superoscillations

DOI10.1088/1751-8113/49/50/505203zbMath1357.81088arXiv1608.03121OpenAlexW2503632655MaRDI QIDQ2960272

Leilee Chojnacki, Achim Kempf

Publication date: 8 February 2017

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

Full work available at URL: https://arxiv.org/abs/1608.03121

zbMATH Keywords

superresolutionsuperoscillating Hamiltonianssuperoscillating signalssuperoscillating wave functions

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Fourier series and coefficients in several variables (42B05)

Related Items (4)

Four aspects of superoscillations ⋮ An approach to constructing super oscillatory functions ⋮ Beyond superoscillation: general theory of approximation with bandlimited functions ⋮ Superoscillations: a scale physics perspective

Cites Work

• On the Cauchy problem for the Schrödinger equation with superoscillatory initial data
• Scaling properties of superoscillations and the extension to periodic signals
• Quantum harmonic oscillator with superoscillating initial datum
• Superoscillations With Optimum Energy Concentration
• Unusual properties of superoscillating particles
• Evolution of superoscillatory data
• Driving quantum systems with superoscillations
• Sturm comparison theorems for ordinary and partial differential equations

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