EQUATIONS OF MOTION OF CLASSICAL NON-RELATIVISTIC STRINGS AND RELATIVISTIC STRINGS

Abstract

To formulate the dynamics of a system we can write either the equations of motion or, alternatively, an action. We construct an analytic model describing the macroscopic properties of non-relativistic string and relativistic string. We study the equations of motion for non-relativistic strings and develop the Lagrangian approach to their dynamics. More importantly, the equations of motion for the relativistic string, the action is a natural generalization of the relativistic particle action. We use the proper area of this surface as the action; this is the Nambu-Goto action. We study the reparameterization property of this action, identify the string tension, and find the equations of motion.