Numerical Gaussian-Based and Tensor-Network Methods in Quantum Dynamics (B04)

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The challenges to the numerical approximation of the quantum dynamics of multi- to many-particle systems lie in the high dimension of configuration spaces and often in highly oscillatory behavior of wave functions, due to multiple time and space scales. This project aims at the design and analysis of numerical algorithms for two major approaches that address either or both of these challenges: dynamical tensor networks and correlated evolving Gaussians, and also their nontrivial combination.