Equivalent Lagrangians in classical field theory

Sergio Hojman, L. C. Shepley

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Two Lagrangians L and L′ are equivalent if the equations of motion derived from them have the same set of solutions. In that case, a matrix Λ may be defined which has the property that the trace of any analytic function of Λ is a constant of the motion. We extend this trace theorem to the case of classical field theory and discuss some of the implications for quantum theory and for procedures for finding equivalent Lagrangians.

Original languageEnglish
Pages (from-to)465-481
Number of pages17
JournalFoundations of Physics
Issue number5
StatePublished - May 1986


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