Ulm 2004 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

MP: Theoretische und Mathematische Grundlagen der Physik

MP 5: Klassische Feldtheorie

MP 5.3: Fachvortrag

Mittwoch, 17. März 2004, 15:45–16:10, H 22

Local formulae for Poisson forms and Poisson brackets in multisymplectic field theory — •Cornelius Paufler¹, Michael Forger², and Hartmann Römer³ — ¹Kungl Tekniska Högskolan, AlbaNova - SCFAB, SE-10691 Stockholm, Sweden — ²Departamento de Matemática Aplicada, Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281, BR-05315-970 São Paulo, S.P., Brazil — ³Fakultät für Mathematik und Physik, Physikalisches Institut, Albert-Ludwigs-Universität Freiburg im Breisgau, Hermann-Herder-Straße 3, D-79104 Freiburg i. Br., Germany

Multisymplectic field theory provides the framework to geometrically and covariantly describe (first order) classical field theories. It extends symplectic geometry from the well-known interplay of Hamiltonian functions and vector fields to include in addition certain forms, the Poisson forms, and Hamiltonian multivector fields. In this talk, a general classification of Poisson forms will be presented and explicit local coordinate expressions for the Poisson bracket between two such forms will be given.