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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 2: Noncommutative Geometry

MP 2.1: Vortrag

Dienstag, 16. März 2010, 09:30–09:55, JUR H

Spectral distance on the Moyal plane — •Pierre Martinetti — Universität Göttingen and Courant Centre

We compute the spectral distance, defined in Connes’ Noncommutative Geometry, in the Moyal plane. We find that the distance between the eigenstates m, m+1 of the quantum harmonic oscillator is proportional to m^−1/2. We also show how to truncate the Moyal spectral triple in order to obtain quantum metric spaces in the sense of Rieffel.