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

这个项目将支持一名博士后与首席研究员在数学物理的两个重要和困难的问题上合作：原子和分子系统的稳定性，以及描述静止黑洞所需的参数数量。第一个问题涉及稳定的原子和分子中可能存在的电子的数量；第二个问题涉及质量和角动量共同描述静止黑洞的假设的正确性。数学物理学家经常使用相同或相似的想法来研究非常小和非常大的物理系统。这个提议将研究一个稳定的原子或分子(一个受量子力学定律支配的非常小的系统)中可以存在多少电子，以及一个静止黑洞的质量和角动量是否决定它的结构(一个受广义相对论定律支配的非常大的系统)。

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).