How superoscillating tunneling waves can overcome the step potential

DOI10.1016/j.aop.2020.168088zbMath1433.35322OpenAlexW3004794271MaRDI QIDQ1987492

Yanyan Li

Publication date: 15 April 2020

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2020.168088

Mathematics Subject Classification ID

Traveling wave solutions (35C07) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (7)

Evolution of superoscillations in the Dirac field ⋮ Persistence of superoscillations under the Schrödinger equation ⋮ On the generating functions and special functions associated with superoscillations ⋮ 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 ⋮ Evolution of superoscillations in the Klein-Gordon field

Cites Work

• Unnamed Item
• Superoscillating sequences in several variables
• Superoscillating sequences as solutions of generalized Schrödinger equations
• Representing superoscillations and narrow Gaussians with elementary functions
• 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
• Effect of awareness programs by media on the epidemic outbreaks: a mathematical model
• Quantum harmonic oscillator with superoscillating initial datum
• Pointer supershifts and superoscillations in weak measurements
• Some mathematical properties of superoscillations
• Superoscillations: Faster Than the Nyquist Rate
• Unusual properties of superoscillating particles
• 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
• Natural superoscillations in monochromatic waves inDdimensions
• The Mathematics of Superoscillations

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