Phys. Rev. D 36, 2385–2398 (1987)Hamiltonian formalism for path-dependent LagrangiansReceived 20 May 1987; published in the issue dated 15 October 1987 A presymplectic structure for path-dependent Lagrangian systems is set up such that, when applied to ordinary Lagrangians, it yields the familiar Legendre transformation. It is then applied to derive a Hamiltonian formalism and the conserved quantities for those predictive invariant systems whose solutions also satisfy a Fokker-type action principle. © 1987 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.36.2385
DOI:
10.1103/PhysRevD.36.2385
PACS:
03.20.+i, 03.50.-z
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