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.