High accuracy representation of the free propagator

DOI10.1016/j.apnum.2009.06.007zbMath1176.65113OpenAlexW1998886225MaRDI QIDQ731960

Patrick L. Nash, J. A. C. Weideman

Publication date: 9 October 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.06.007

zbMATH Keywords

numerical examplesnumerical comparisonsnonlinear Schrödinger equationssplit-step methodFourier pseudospectral methodsfree propagator of quantum mechanics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A fast algorithm for the solution of the time-independent Gross--Pitaevskii equation
• Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation
• A time-splitting spectral method for coupled Gross-Pitaevskii equations with applications to rotating Bose-Einstein condensates
• Water waves, nonlinear Schrödinger equations and their solutions
• Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation
• A numerical and theoretical study of certain nonlinear wave phenomena
• Computation of the Complex Error Function
• Spectral Methods in MATLAB
• A Practical Guide to Pseudospectral Methods
• On the Construction and Comparison of Difference Schemes
• Mathematical concepts of quantum mechanics.

This page was built for publication: High accuracy representation of the free propagator