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arXiv · 1612.04193

Second quantization of a covariant relativistic spacetime string in Steuckelberg-Horwitz-Piron theory

Michael Suleymanov·Lawrence Horwitz·Asher Yahalom
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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.

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Michael Suleymanov, Lawrence Horwitz, Asher Yahalom. 2016-12-06. Second quantization of a covariant relativistic spacetime string in Steuckelberg-Horwitz-Piron theory. https://arxiv.org/abs/1612.04193

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