## Schroedinger equation, Brownian motion and Feynmann-Kac formula

### Prof. Gianfausto Dell'Antonio

Contents:

- Quantum dynamics and Schroedinger equation: solutions and associated unitary group.
- Introduction to probability theory and stochastic processes: Brownian motion and its relationship with heat equation.
- Feynmann-Kac formula and field theory: mathematical problems to extend the formula in a infinite-dimensional context and possible directions of research.