Darmstadt 2008 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 29: Poster Quanteneffekte

Q 29.18: Poster

Dienstag, 11. März 2008, 16:30–19:00, Poster C2

Riemann's Zeta Function in Phase-Space — •Cornelia Feiler, Rüdiger Mack, and Wolfgang P. Schleich — Institut für Qunatenphysik, Universität Ulm

The Riemann hypothesis is at the very heart of number theory. We propse a novel approach where the Riemann Zeta function emerges in a quantum system. For that, we consider states, which provide us with the Riemann Zeta function when we take appropriate scalar products. Moreover, we present the corresponding Wigner and Q-functions and discuss their behaviour in phase space.