A short study of a string on a plane: the energy and the effective mass

Abstract

We investigate the new special class of the finite string on a plane, after the reduction from the relativistic $4D$ case. The suggested special form of the phase space allows to define the extended Galilei group as a group of the space - time symmetry for the considered system. The definition of the energy for the studied non-relativistic string through the Cazimir function of this group is suggested. The concept of the effective mass for the investigated dynamical system is introduced. The appearance of strong correlations between the degrees of freedom even on the classical level is discussed.

8 pages. Preprint of an article submitted for consideration in Modern Physics Letters A 2016 @ World Scientific Publ. Company

References in corpus (4)

• Photons and electrons as emergent phenomena
• Anyon spin and the exotic central extension of the planar Galilei group
• Classical and Quantum Systems: Alternative Hamiltonian Descriptions
• The anyon model: an example inspired by string theory