Title:Hamiltonian Field Theory and MechanicsAuthor(s):Kurt Schlacher, Markus SchöberlAbstract:We analyze the geometry of the evolutionary and the polysymplectic approach in first order Hamiltonian field theory. The main difference important for the application is beside a different bundle construction the different Legendre transform as well as the analysis of the conserved quantities. These theoretical investigations will be completed by the analysis of continuum mechanics in the presented framework.Booktitle:Argesim Report / CD Proceedings Vienna Mathmod 2009Editor(s):I. Troch, F. BreiteneckerISBN:978-3-901608-35-3Page Reference:8 page(s)Publishing:2/2009Number:35