The Talbot effect as the fundamental solution to the free Schrödinger equation
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Publication:2244857
DOI10.4171/PM/2068zbMath1477.35204arXiv2102.11962OpenAlexW3132731155MaRDI QIDQ2244857
Publication date: 12 November 2021
Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.11962
Operations with distributions and generalized functions (46F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Geometric optics (78A05) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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- Numerical simulation of nonlinear dispersive quantization
- On the motion of a curve by its binormal curvature
- On Riemann ``nondifferentiable function and Schrödinger equation
- Fractal solutions of dispersive partial differential equations on the torus
- The Schrödinger equation on spheres.
- Traces of the discrete Hilbert transform with quadratic phase
- Talbot effect for the cubic non-linear Schröedinger equation on the torus
- Vortex filament equation for a regular polygon
- Dispersive Quantization
- Renormalisation of curlicues
- Quantum fractals in boxes
- Integer, fractional and fractal Talbot effects
- Fractal solutions of linear and nonlinear dispersive partial differential equations
- Dispersion of discontinuous periodic waves
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