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About: Covariant classical field theory     Goto   Sponge   NotDistinct   Permalink

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Type: yago:Abstraction100002137yago:Communication100033020yago:DifferentialEquation106670521yago:Equation106669864yago:MathematicalStatement106732169yago:Message106598915yago:Statement106722453yago:WikicatDifferentialEquations New Facet based on Instances of this Class

In mathematical physics, covariant classical field theory represents classical fields by sections of fiber bundles, and their dynamics is phrased in the context of a finite-dimensional space of fields. Nowadays, it is well known that jet bundles and the variational bicomplex are the correct domain for such a description. The Hamiltonian variant of covariant classical field theory is the covariant Hamiltonian field theory where momenta correspond to derivatives of field variables with respect to all world coordinates. Non-autonomous mechanics is formulated as covariant classical field theory on fiber bundles over the time axis ℝ.