Skip to main content
Article thumbnail
Location of Repository

Infinitesimal transformations and equivalence of the Lagrangian and Hamiltonian descriptions

By A Passerini, M Bregola, G Callegari and C Ferrario


Starting from the infinitesimal point of view, the need to enlarge the Hamiltonian principle for Hamiltonian dynamics is analysed. So-called Lagrangian transformations are introduced to demonstrate the complete equivalence, not only of the Lagrangian and Hamiltonian equations of motion, but also of the corresponding formalisms. It is shown that the superiority of the Hamiltonian formalism lies exclusively in the passage from infinitesimal transformation generators to one-parameter subgroups of canonical transformation, since the passage preserves most of the properties acquired at the infinitesimal level

Year: 1993
OAI identifier:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.