MTPS Seminar

Matthias Lienert

(University of Tübingen)

"The multi-time formalism for relativistic quantum physics"


Date: Mon, May 6, 2019
Time: 14:00
Place: Research III Seminar Room

Abstract: It is a fascinating idea that the wave function in relativistic quantum physics could be a function \(\psi(x_1,...,x_N)\) involving one spacetime variable \(x_i\) per particle, hence \(N\) time variables \(t_i = x_i^0, i = 1,2,...,N\). As natural as it may sound, this concept of "multi-time wave functions" leads to a range of challenging physical and mathematical problems, such as: How can one define a consistent and interacting time evolution in the multiple time (\(x_i^0\)) variables? Which types of PDEs work for that? What is the physical meaning of \(|\psi|^2\) at unequal times? Can one reformulate quantum field theories using multi-time wave functions?, and: Are there new possibilities for evolution equations which are specific to the multi-time formalism? This talk will provide a non-technical overview of recent progress concerning these questions.