Quantum Computation and Information Seminar 

14/01/2005, 15:00 — 16:00 — Room P4.35, Mathematics Building
Ana Bela Cruzeiro, Instituto Superior Técnico e GFM

On the equations of motion in quantum mechanics

We describe a probabilistic interpretation of the quantum equations of motion for elementary mechanical systems, in the almost-sure sense, i.e., before taking the expectation. The method involves a class of stochastic processes appropriate to those systems. The main tool will be stochastic calculus of variation on the path space (or Malliavin calculus). In this framework a (stochastic) Noether theorem involving the same processes is also available.