现代数学物理方法：量子力学中的不确定性和不相容原理
Methods of modern mathematical physics: Uncertainty and exclusion principles in quantum mechanics
摘要：
这些是2017年春季在斯德哥尔摩KTH开设的硕士课程的讲义，主要目的是使用多体量子力学中的现代数学方法从第一原理证明物质的稳定性。介绍了量子力学不相容原理和不确定性的一般定量表述，如Hardy，Sobolev和Poincaré函数不等式以及结合这两个原理的强大的Lieb-Thirring不等式.这些注释的目的是既相当独立，同时又补充现有的文献，还包括最近的发展，以证明Lieb-Thirring不等式和稳定性，从一般的，较弱的配方排除原则。
英文摘要：
These are lecture notes for a master-level course given at KTH, Stockholm, in the spring of 2017, with the primary aim of proving the stability of matter from first principles using modern mathematical methods in many-body quantum mechanics. General quantitative formulations of the uncertainty and the exclusion principles of quantum mechanics are introduced, such as the Hardy, Sobolev and Poincaré functional inequalities as well as the powerful Lieb-Thirring inequality that combines these two principles. The notes are aimed to be both fairly self-contained and at the same time complementary to existing literature, also covering recent developments to prove Lieb-Thirring inequalities and stability from general, weaker formulations of the exclusion principle.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
