Variationally trivial Lagrangians and locally variational differential equations of arbitrary order |
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Institution: | Dept. of Theor. Phys., Inst. Atomic Phys., Bucharest-Muagurele, P.O. Box MG 6, Romania |
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Abstract: | We continue our investigation of the Lagrangian formalism on jet bundle extensions using Fock space methods. We are able to provide the most general form of a variationally trivial Lagrangian of arbitrary order and we also give a generic expression for the most general locally variational differential equation. As anticipated in the literature, these expressions involve some special combinations of the highest order derivatives, called hyper-Jacobians. |
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