Second quantization of a covariant relativistic spacetime string in Steuckelberg-Horwitz-Piron theory
General Physics
2016-12-14 v1
Abstract
A relativistic 4D string is described in the framework of the covariant quantum theory first introduced by Stueckelberg (1941) [1], and further developed by Horwitz and Piron (1973) [2], and discussed at length in the book of Horwitz (2015) [3]. We describe the space-time string using the solutions of relativistic harmonic oscillator [4]. We first study the problem of the discrete string, both classically and quantum mechanically, and then turn to a study of the continuum limit, which contains a basically new formalism for the quantization of an extended system. The mass and energy spectrum are derived. Some comparison is made with known string models.
Keywords
Cite
@article{arxiv.1612.04193,
title = {Second quantization of a covariant relativistic spacetime string in Steuckelberg-Horwitz-Piron theory},
author = {Michael Suleymanov and Lawrence Horwitz and Asher Yahalom},
journal= {arXiv preprint arXiv:1612.04193},
year = {2016}
}
Comments
22 pages