Generalized Multitime Lagrangiansand Hamiltonians
Keywords:
affinelagrangian,affinehamiltonian,variationalequation, jetspace.Abstract
We establishanat uralf ramefor affineLa grangians and Hamilt onians.Thefoc usis onthe Hamil tonians applicableinclassical fiel dsandthe irgeneralizations. Aunitarytreatmen tofscalarandvolume-valuedHamilto-niansinaspecialclassisobtained.Consider ingavar iationalp roblemo ftheacti ondefine dbyaHamiltonianin thisclass,oneobtain sinformationsaboutthemultiti medynamicalsolutionsoft heclassic alvaria tion alproblem forscala randvolu me-valued Hamilton ians.
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