An action for a classical string, the equation of motion and group invariant classical solutions

Authors

Paul Bracken, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

2008

Abstract

A string action which is essentially a Willmore functional is presented and studied. This action determines the physics of a surface in Euclidean three space which can be used to model classical string configurations. By varying this action an equation of motion for the mean curvature of the surface is obtained which is shown to govern certain classical string configurations. Several classes of classical solutions for this equation are discussed from the symmetry group point of view and an application is presented.

Comments

© Versita Warsaw and Springer-Verlag Berlin Heidelberg. Original published version available at doi.org/10.2478/s11534-008-0092-3

Recommended Citation

Bracken, Paul. "An action for a classical string, the equation of motion and group invariant classical solutions" Open Physics, vol. 6, no. 3, 2008, pp. 662-670. https://doi.org/10.2478/s11534-008-0092-3

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

Publication Title

Central European Journal of Physics

DOI

10.2478/s11534-008-0092-3