Evolution of superoscillations for Schrödinger equation in a uniform magnetic field

DOI10.1063/1.4991489zbMath1372.81040OpenAlexW2754002870MaRDI QIDQ5366987

Daniele C. Struppa, Jonathan Gantner, Fabrizio Colombo

Publication date: 10 October 2017

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

Full work available at URL: https://digitalcommons.chapman.edu/scs_articles/542

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Electro- and magnetostatics (78A30) Initial-boundary value problems for linear higher-order PDEs (35G16)

Related Items (12)

Classes of superoscillating functions ⋮ Continuity of some operators arising in the theory of superoscillations ⋮ Schrödinger evolution of superoscillations under different potentials ⋮ Evolution of superoscillations in the Dirac field ⋮ A unified approach to Schrödinger evolution of superoscillations and supershifts ⋮ Persistence of superoscillations under the Schrödinger equation ⋮ Evolution of superoscillations in a relativistic wavepacket ⋮ Superoscillations and analytic extension in Schur analysis ⋮ Infinite order differential operators with a glimpse to applications to superoscillations ⋮ Holomorphic functions, relativistic sum, Blaschke products and superoscillations ⋮ The Mathematics of Superoscillations ⋮ Evolution of Aharonov-Berry superoscillations in Dirac \(\delta\)-potential

Cites Work

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• Superoscillating sequences in several variables
• Superoscillating sequences as solutions of generalized Schrödinger equations
• On the Cauchy problem for the Schrödinger equation with superoscillatory initial data
• Quantum harmonic oscillator with superoscillating initial datum
• Pointer supershifts and superoscillations in weak measurements
• Some mathematical properties of superoscillations
• Superoscillations of Prescribed Amplitude and Derivative
• 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
• Evolution of superoscillatory initial data in several variables in uniform electric field
• Superoscillation phenomena in SO(3)
• Quantum Paradoxes
• Evolution of quantum superoscillations and optical superresolution without evanescent waves
• Natural superoscillations in monochromatic waves inDdimensions
• The Mathematics of Superoscillations
• The diamagnetism of free electrons

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