Mathematical Sciences: Problems of Isolated Systems in Quantum Mechanics and General Relativity

这个项目将支持博士后工作与 主要研究者的两个重要和困难的问题， 数学物理：原子和分子的稳定性 系统和描述系统所需的参数数量 静止的黑洞 第一个问题涉及到 可以存在于稳定的原子和分子中的电子; 第二个问题涉及假设的正确性， 质量和角动量一起描述了一个静止的 黑洞 数学物理学家经常使用相同或相似的 研究非常小和非常大的物理系统的想法。 这 一项提案将研究一个稳定的电子中可以存在多少个电子。 原子或分子（一个非常小的系统，由原子或分子的定律支配） 量子力学）以及质量和角动量 一个静止的黑洞决定了它的结构（一个非常大的 广义相对论（General Relativity）

This project will support a postdoc working with the principal investigator on two important and difficult problems of mathematical physics: the stability of atomic and molecular systems and the number of parameters needed to describe a stationary black hole. The first problem concerns the number of electrons that can exist in stable atoms and molecules; the second problem concerns the correctness of the assumption that the mass and the angular momentum together describe a stationary black hole. Mathematical physicists very often use the same or similar ideas to study very small and very large physical systems. This proposal will study just how many electrons can exist in a stable atom or molecule (a very small system governed by the laws of quantum mechanics) and whether the mass and the angular momentum of a stationary black hole determine its structure (a very large system governed by the laws of general relativity).