Regensburg 2013 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 33: Poster II

DY 33.38: Poster

Donnerstag, 14. März 2013, 17:00–19:00, Poster C

Statistical Physics of Quadrics in Finite Projective Spaces — •Benedikt Krüger, Nils Alex, Felix Winterhalter, Johannes F. Knauf, and Klaus Mecke — Institut für Theoretische Physik, FAU Erlangen-Nürnberg, Staudtstr. 7, D-91058 Erlangen, Germany

Projective Geometry is an interesting alternative to the usual affine geometry that is typically used in physics. Certain symmetries (e.g. between points and lines in projective planes) lead to a more elegant mathematical description of geometric structures by avoiding case-by-case analysis. A projective space can be seen as an extension of the usual affine space where all parallel hyperplanes intersect on an added "hyperplane at infinity". The analogon to affine conic sections (ellipses, parabolas and hyperbolas) are projective quadrics. This definition holds for projective spaces over finite fields, as well. The emerging properties of these finite quadrics are examined with methods from statistical physics.