**FERNANDO PARISIO**Universidade Federal de Pernambuco

In the tangible world, position and time cannot be determined with
arbitrary precision. Despite this evident experimental fact, in quantum
theory, we routinely refer to the probability of measuring a particle
between positions x and x+dx, exactly at the instant t, but never to the
probability of detecting it during the time interval [t, t+dt], exactly
at the position x. The latter question is clearly as well-posed as the
former, and this space-time asymmetry has nothing to do with the lack of
Lorentz covariance of the Schrödinger equation. In this talk, first we
present an extended non-relativistic quantum formalism where space and
time play equivalent (statistical) roles. It leads to a Schrödinger-like
equation for a “mirror” wave function associated with the
probability of measuring the system between t and t + dt, given that
detection occurs at x. We confront recent predictions of the developed
formalism with experimental data on tunneling times.

**Seminar, January 24th, 2019, 15:00. ICFO’s Seminar Room
Hosted by Antonio Acín**