Article révisé par les pairs
| Résumé : | The inverse problem of the calculus of variations is analysed in the case of Newtonian mechanics. Its connection with the question: "Does the equation of motion determine commutation relations?" raised some time ago by Wigner, is exhibited. All the Lagrangians that yield variational equations equivalent to a given set of second order differential equations are explicitly determined for some simple classes of forces. © 1982. |
