Fachbereich Mathematik

Oberseminar Mathematische Physik

Until further notice, the seminar will be held as an online seminar. Please contact Ms. Kabagema-Bilan if you would like to be added to the mailing list for the link to the weekly zoom meeting.

May 20, 2021

Sascha Lill (Tübingen)

Born's rule on arbitrary Cauchy surfaces

June 17, 2021

Philippe Droz-Vincent (Paris)

A multi-time approach to relativistic quantum mechanics

July 8, 2021

Thibaut Demaerel (Paris)

TBA

July 22, 2021

Sahand Tokasi (Tübingen)

Reduction of quantum mechanics on shape space


Abstract for Sascha Lill: The talk is about a rigorous derivation showing that in suitable quantum theories, particle detectors on a Cauchy surface Sigma in Minkowski space-time will find a |psi_Sigma|^2-distributed configuration.

Abstract for Philippe Droz-Vincent: We start from a covariant relativistic canonical formalism, for n point particles, in terms of unconstrained phase space of 8n dimensions and n "Hamiltonian generators" in involution. The No Go theorem is circumvented by accepting that positions are no more canonical coordinates. Evolution equations involve all proper times (or suitable generalizations of them). Two-body examples are given. Quantization is formulated, replacing Poisson brackets by commutators; n coupled wave equations involve the n "Hamiltonian" operators interpreted as half-squared-mass operators. A two-body simple example illustrates how to obtain a spectrum. Evolution formalism, Scattering and Second Quantization will be briefly sketched.