A splitting approach for the magnetic Schrödinger equation
DOI10.1016/j.cam.2016.08.041zbMath1373.81195arXiv1604.08044OpenAlexW2963493570MaRDI QIDQ2406627
Chiara Piazzola, Marco Caliari, Alexander Ostermann
Publication date: 5 October 2017
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.08044
convergenceFourier techniquesnonequispaced fast Fourier transformmagnetic Schrödinger equationexponential splitting methods
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical methods for discrete and fast Fourier transforms (65T50) Electromagnetic theory (general) (78A25) Fourier series and coefficients in several variables (42B05)
Related Items
Uses Software
Cites Work
- Geometric numerical integration and Schrödinger equations
- A splitting approach for the Kadomtsev-Petviashvili equation
- From quantum to classical molecular dynamics: Reduced models and numerical analysis.
- The semi-Lagrangian method for the numerical resolution of the Vlasov equation
- Error bounds for exponential operator splittings
- On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
- A semi-Lagrangian time splitting method for the Schrödinger equation with vector potentials
- Using NFFT 3---A Software Library for Various Nonequispaced Fast Fourier Transforms
- Exponential splitting for unbounded operators
- Mathematical and computational methods for semiclassical Schrödinger equations
- Splitting methods
- Convergence Analysis of Strang Splitting for Vlasov-Type Equations
- Geometric Numerical Integration
- On the Construction and Comparison of Difference Schemes