学术动态

13-04-2025

讲座预告:On the relativistic effect in Dirac-Fock theory

报告题目:On the relativistic effect in Dirac-Fock theory

报告人:孟龙 (慕尼黑大学) 

报告时间:4月13日14:00-15:00

报告地点:立德楼1001

报告摘要:The emergence of relativistic quantum mechanics has been one of the most remarkable developments in quantum physics over the past decades. Since the early work of Dirac, relativity has always been a part of the quantum physical picture. While non-relativistic theories are highly successful in describing quantum systems where particles move at speeds much slower than the speed of light c, relativistic effects can become significant in high-precision calculations. Now it became clear that relativistic effects had an essential influence on a number of physical and chemical properties. 

In this talk, we discuss recent advances on the study of relativistic effect in Dirac-Fock ground-state energy. We prove that the error bound between Dirac-Fock ground-state energy and its non-relativistic counterpart (i.e., Hartree-Fock ground-state energy) is of the order O(c-2), and, when the potential between electrons and nuclei is regular, we obtain the well-known leading order relativistic correction term (i.e. the sum of the mass-velocity term, the Darwin term and the spin-orbit term).

报告人简介:孟龙,博士毕业于巴黎九大,目前为慕尼黑大学博士后,主要从事于量子力学中的数学物理理论研究。


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