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Gaussian Wave Packet Dynamics in Quantum Dynamics

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The development of numerical methods for the efficient simulation of quantum dynamics is essential for the theoretical analysis of quantum systems. In this talk, the Time-Sliced Thawed Gaussian (TSTG) propagation method is presented, including a rigorous error analysis of the algorithm and numerical experiments. In the last part of the talk we will focus on the tensor-train format, a special variant of low-rank tensor decompositions that can overcome the curse of dimensionality and is currently at the forefront of research in many different fields. Practical numerical experiments will illustrate how we can use this tool for multi-dimensional quantum dynamics simulations.

This talk is part of the Applied and Computational Analysis series.

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