Eqab M. Rabei, Khaled I. Nawafleh, Yacoub S. Abdelrahman, and H.Y. Rashed Omari. 2003, Hamilto -Jacobi Treatment of Lagrangians with linear velocities, Modern Physics Letters A, Vol. 18, NO. 23, pp. 1591- 1596.

Mod. Phys. Lett. A, 18 (23), 1591-1596 (2003).

Abstract

A new approach for solving mechanical problems of Linear Lagrangian systems using the Hamilton-Jacobi formulation is proposed. The equations of motion are recovered from the action integral. It has been proved that there is no need to follow the consistency conditions of the Dirac approach.