Hamiltonian multivector fields and poisson forms in multisymplectic field theory

Jul, 2004
51 pages
Published in:
  • J.Math.Phys. 46 (2005) 112901
e-Print:
Report number:
  • THEP-04-13,
  • RT-MAP-04-02

Citations per year

200320092015202120251023
Abstract:
We present a general classification of Hamiltonian multivector fields and of Poisson forms on the extended multiphase space appearing in the geometric formulation of first order classical field theories. This is a prerequisite for computing explicit expressions for the Poisson bracket between two Poisson forms.
  • 05.70.Ce
  • 02.30.Hq
  • entropy
  • thermodynamics
  • differential equations
  • field theory
  • Hamiltonian formalism
  • phase space
  • differential forms: symplectic