Title

The universal Lagrangian for one particle in a potential

Document Type

Article

Publication Date

2003

Publication Title

American Journal of Physics

Department

Physics

Abstract

In a system consisting of a single particle in a potential, the classical ?L dt is the number of phase waves that pass through the moving particle, as the particle moves from its initial to its final position. Thus the Lagrangian can be cast into the form L=p(vg-vp), where vg and vp are the group and phase velocities and p is the momentum.

Volume

71

Issue

5

pp.

457-461

ISSN

0002-9505