SMuK 2023 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 5: Scattering Amplitudes and Conformal Field Theory

MP 5.7: Talk

Tuesday, March 21, 2023, 18:20–18:40, ZEU/0250

Localizability of Quantum Mechanical Systems on Curved Spacetime — •Romualdo de Oliveira — Universität Erlangen

In this work, we extend Newton and Winger's idea of localization of states of quantum mechanical systems to globally-hyperbolic spacetimes. We will show how Mackey's theory of systems of imprimitivity is the natural mathematical tool to attack this problem. As a by product, we obtain a general procedure to derive position operators acting on the one-particle Hilbert space, which are unique only in highly symmetric spacetimes.