Phys. Rev. D 34, 2302–2311 (1986)A reduction of order two for infinite-order LagrangiansReceived 11 April 1986; published in the issue dated 15 October 1986 Given a Lagrangian system depending on the position derivatives of any order, and assuming that certain conditions are satisfied, a second-order differential system is obtained such that its solutions also satisfy the Euler equations derived from the original Lagrangian. A generalization of the singular Lagrangian formalism permits a reduction of order keeping the canonical formalism in sight. Finally, the general results obtained in the first part of the paper are applied to Wheeler-Feynman electrodynamics for two charged point particles up to order 1/c4. © 1986 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.34.2302
DOI:
10.1103/PhysRevD.34.2302
PACS:
03.20.+i
See AlsoComment: Thibault Damour and Gerhard Schäfer, Comment on ‘‘A reduction of order two for infinite-order Lagrangians’’, Phys. Rev. D 37, 1099 (1988). |
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