Self-accelerating beam dynamics in the space fractional Schrödinger equation

2020/06/23 by David Colas
Mathematics · Physics and Astronomy · #Acceleration #Acoustics #Beam (structure) #Classical mechanics #Computer science #Dynamics (music) #Fractional Differential Equations Solutions #Mathematical analysis #Mathematics #Mode (computer interface) #Nonlinear Photonic Systems #Optics #Orbital Angular Momentum in Optics #Physics #Quantum mechanics #Schrödinger equation #Space (punctuation) #Wave packet #cond-mat.quant-gas #physics.optics #quant-ph

paper · pdf · doi:10.1103/physrevresearch.2.033274

published as Phys. Rev. Research 2, 033274 (2020) · 8 pages, 4 figures

arxiv created 2020/06/23 · openalex created_date 2020/06/25 · openalex publication_date 2020/08/20 · arxiv updated 2020/08/26 · openalex updated_date 2026/08/05

Abstract

This paper presents self-accelerating beam solutions of the space Fractional Schr"odinger equation. The author uses a combination of spectral techniques to capture the beam dynamics at a single-mode level and to derive a general expression for the wave packet acceleration.

Citations

• Generation of electron Airy beams
• Fractional Schrödinger equation
• Fractional Schrödinger equation in optics
• Nonspreading wave packets
• The electronic properties of graphene
• The random walk's guide to anomalous diffusion: a fractional dynamics approach
• Potential condensed-matter realization of space-fractional quantum mechanics: The one-dimensional Lévy crystal
• Definition of the Riesz Derivative and its Application to Space Fractional Quantum Mechanics
• Fractional Calculus