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

量子动力学中基于数值高斯和张量网络的方法（B04）

• 批准号: 510846184
• 金额: --
• 依托单位: Arbeitsbereich Numerische Mathematik
• 依托单位国家: 德国
• 项目类别: CRC/Transregios
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/510846184?language=en
• 关键词: Numerical; Gaussian; Based; Tensor; Network

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.

多对多粒子系统的量子动力学的数值近似的挑战在于高维度的位形空间，往往在高振荡行为的波函数，由于多个时间和空间尺度。该项目旨在设计和分析两种主要方法的数值算法，以解决这些挑战中的一个或两个：动态张量网络和相关的进化高斯，以及它们的非平凡组合。