Two-dimensional s-equivalent Lagrangians and separability

S. Hojman, S. Ramos

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


Proves that the necessary and sufficient condition for the existence of (non-trivial) Lagrangians s(olution)-equivalent to L=1/ 2(x2+y2)-V(x,y,t) is that L can be written as L=1/2(u2+v2)-V1(u)-V 2(v) with u= alpha x+ beta y, v= gamma x+ delta y where alpha , beta , gamma , delta are constants.

Original languageEnglish
Article number024
Pages (from-to)3475-3480
Number of pages6
JournalJournal of Physics A: General Physics
Issue number11
StatePublished - 1982


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