Evolution by Schrödinger equation of Aharonov–Berry superoscillations in centrifugal potential

DOI10.1098/rspa.2018.0390zbMath1472.35321OpenAlexW2945689562MaRDI QIDQ5160654

Daniele C. Struppa, Fabrizio Colombo, Jonathan Gantner

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2018.0390

zbMATH Keywords

Schrödinger equationconvolution operatorsmathematical physicssuperoscillating functionsentirefunctions with growth conditions

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) General theory of partial differential operators (47F05) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (7)

Superoscillating sequences and supershifts for families of generalized functions ⋮ Evolution of superoscillations in the Dirac field ⋮ Persistence of superoscillations under the Schrödinger equation ⋮ Superoscillations and analytic extension in Schur analysis ⋮ Infinite order differential operators with a glimpse to applications to superoscillations ⋮ Infinite-order differential operators acting on entire hyperholomorphic functions ⋮ Holomorphic functions, relativistic sum, Blaschke products and superoscillations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Superoscillating sequences in several variables
• Superoscillating sequences as solutions of generalized Schrödinger equations
• Representing superoscillations and narrow Gaussians with elementary functions
• Quantum integrals of motion for variable quadratic Hamiltonians
• Classes of superoscillating functions
• Continuity of some operators arising in the theory of superoscillations
• Four aspects of superoscillations
• Schrödinger evolution of superoscillations under different potentials
• Continuity theorems for a class of convolution operators and applications to superoscillations
• On the Cauchy problem for the Schrödinger equation with superoscillatory initial data
• Quantum harmonic oscillator with superoscillating initial datum
• Constructing Green functions of the Schrödinger equation by elementary transformations
• Pointer supershifts and superoscillations in weak measurements
• Some mathematical properties of superoscillations
• Superoscillations of Prescribed Amplitude and Derivative
• Superoscillations: Faster Than the Nyquist Rate
• Analytic expansions of thermonuclear reaction rates
• Evanescent and real waves in quantum billiards and Gaussian beams
• Exact nonparaxial transmission of subwavelength detail using superoscillations
• Superoscillation phenomena in SO(3)
• Quantum Paradoxes
• Evolution of quantum superoscillations and optical superresolution without evanescent waves
• Mittag-Leffler Functions, Related Topics and Applications
• Natural superoscillations in monochromatic waves inDdimensions
• The Mathematics of Superoscillations

This page was built for publication: Evolution by Schrödinger equation of Aharonov–Berry superoscillations in centrifugal potential