Revivals and fractalisation in the linear free space Schrödinger equation

DOI10.1090/qam/1547zbMath1431.35146arXiv1812.08637OpenAlexW2961665014MaRDI QIDQ5218737

Natalie E. Sheils, Peter J. Olver, David Andrew Smith

Publication date: 5 March 2020

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.08637

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Geometric numerical integration. Abstracts from the workshop held March 28 -- April 3, 2021 (hybrid meeting) ⋮ Dispersive quantization and fractalization for multi-component dispersive equations

Uses Software

• DLMF

Cites Work

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• Well-posed two-point initial-boundary value problems with arbitrary boundary conditions
• A Unified Approach to Boundary Value Problems
• Dispersive Quantization
• Quantum fractals in boxes
• Integer, fractional and fractal Talbot effects
• Visual Quantum Mechanics
• A numerical implementation of the unified Fokas transform for evolution problems on a finite interval
• Dispersion of discontinuous periodic waves
• The Method of Fokas for Solving Linear Partial Differential Equations
• A transform method for linear evolution PDEs on a finite interval
• Introduction to Partial Differential Equations

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