报告题目：From the Schrödinger and Klein–Gordon equation to the Dirac equation

报 告 人：Samuel Adrian Antz (PhD student @ DUT - Dalian University of Technology)

报告时间：2026年3月26日（星期四）9:00—9:45

报告地点：数学科学学院114（小报告厅）      

校内联系人：廖娴 教授       联系方式：84708351-8510

Abstract: Both the Schrödinger and the Klein–Gordon equation from quantum mechanics are derived from energy-momentum relations, non-relativistic for the former and relativistic for the latter. Both are also mathematically interesting as they are closely related to the heat and wave equation, respectively. But going deeper into quantum field theory requires more structure, mainly to properly describe the spin of particles. A suitable mathematical method is provided by Dirac operators, which when applied twice yield a generalized Laplace operator. Dirac operators then not only lead to the Dirac equation, which predicted antimatter, but also to rich mathematical applications, for example in combination with the famous Atiyah–Singer index theorem.