Seminars
TOWARD A MORE SYMMETRIC RELATION BETWEEN SPACE AND TIME IN NON-RELATIVISTIC QUANTUM MECHANICS
January 24th, 2019 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

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