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# Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation

@article{Qian2010FastGW, title={Fast Gaussian wavepacket transforms and Gaussian beams for the Schr{\"o}dinger equation}, author={Jianliang Qian and Lexing Ying}, journal={J. Comput. Physics}, year={2010}, volume={229}, pages={7848-7873} }

- Published 2010 in J. Comput. Physics
DOI:10.1016/j.jcp.2010.06.043

This paper introduces a wavepacket-transform-based Gaussian beam method for solving the Schrödinger equation. We focus on addressing two computational issues of the Gaussian beam method: how to generate a Gaussian beam representation for general initial conditions and how to perform long time propagation for any finite period of time. To address the first question, we introduce fast Gaussian wavepacket transforms and develop on top of them an efficient initialization algorithm for general… CONTINUE READING

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