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arXiv · 2108.12182

An Error Bound for the Time-Sliced Thawed Gaussian Propagation Method

Paul Bergold·Caroline Lasser
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Abstract

We study the time-sliced thawed Gaussian propagation method, which was recently proposed for solving the time-dependent Schr\"odinger equation. We introduce a triplet of quadrature-based analysis, synthesis and re-initialization operators to give a rigorous mathematical formulation of the method. Further, we derive combined error bounds for the discretization of the wave packet transform and the time-propagation of the thawed Gaussian basis functions. Numerical experiments in 1D illustrate the theoretical results.

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Paul Bergold, Caroline Lasser. 2021-08-27. An Error Bound for the Time-Sliced Thawed Gaussian Propagation Method. https://arxiv.org/abs/2108.12182

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