Effective Approximation and Dynamics of Many-Body Quantum Systems

多体量子系统的有效逼近和动力学

• 批准号: 505496137
• 负责人: Professor Dr. Volker Bach
• 金额: --
• 依托单位: Institut für Analysis und Algebra
• 依托单位国家: 德国
• 项目类别: Research Grants
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/505496137?language=en
• 关键词: Effective; Approximation; Dynamics; Many; Body

The French-German joint project "Effective Approximation and Dynamics of Many-Body Quantum Systems" aims at various important open questions in mathematical physics and partial differential equations (PDE). More specifically, we address the mathematical relations between the PDE describing a many-body quantum system at a microscopic level and effective approximations to this description at a macroscopic level. The three major foci are: 1. the derivation of effective equations related to Hartree-Fock, Thomas-Fermi, and kinetic theory; 2. the study of dynamical and scattering properties of many-body systems and their effective descriptions; 3. spectral analysis and derivation of effective equations at positive temperature. This project is a joint cooperation between researchers in Braunschweig (Germany), Bremen (Germany), Metz (France), and Rennes (France).

法国 - 德国联合项目“多体量子系统的有效近似和动力学”针对数学物理和部分微分方程（PDE）的各种重要开放问题。更具体地说，我们解决了在微观级别描述多体量子系统的PDE之间的数学关系，并在宏观级别上对此描述有效近似。三个主要焦点是：1。与Hartree-Fock，Thomas-Fermi和动力学理论相关的有效方程的推导。 2。多体系统的动力学和散射特性及其有效描述的研究； 3。在正温度下有效方程的光谱分析和推导。该项目是Braunschweig（德国），不来梅（德国），梅茨（法国）和雷恩（Rennes）（法国）的研究人员之间的共同合作。