Mathematical Physics Sector

This page is obsolete. The former Sector of Mathematical Physics is now part of the Mathematics Area.

SISSA — International School for Advanced Studies Phonebook Webmail Library catalogue

Via Bonomea 265 — 34136 Trieste — Italy 45.679538°N, 13.774999°E

Schroedinger equation, Brownian motion and Feynmann-Kac formula

Prof. Gianfausto Dell'Antonio

Contents:

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