MCQM22 Third School and Workshop

Mathematical Challenges in Quantum Mechanics

Como, Italy -- June 13 - 18, 2022

Sonia Mazzucchi

Mathematical challenges in Feynman Path Integrals

Since their introduction in the early 40s, Feynman path integrals have always been a powerful tool for  theoretical physics on the one hand and  a mathematical challenge on the other. Despite decades of effort, a definitive mathematical theory of Feynman path integration is still missing and, while some steps  have been taken in this direction,  there are fundamental issues that still deserve further investigation.  In this talk I shall give an overview of this topic with a historical perspective, highlighting  recent developments and some open problems.