Second quantization of a covariant relativistic spacetime string in Steuckelberg–Horwitz–Piron theory
Michael Suleymanov1,2, Lawrence Horwitz1,3,4, Asher Yahalom2()
1. Department of Physics, Ariel University, Ariel, Israel 2. Department of Electrical & Electronic Engineering, Ariel University, Ariel, Israel 3. School of Physics, Tel Aviv University, Ramat Aviv, Israel 4. Department of Physics, Bar Ilan University, Ramat Gan, Israel
A relativistic 4D string is described in the framework of the covariant quantum theory first introduced by Stueckelberg [Helv. Phys. Acta 14, 588 (1941)], and further developed by Horwitz and Piron [Helv. Phys. Acta 46, 316 (1973)], and discussed at length in the book of Horwitz [Relativistic Quantum Mechanics, Springer (2015)]. We describe the space-time string using the solutions of relativistic harmonic oscillator [J. Math. Phys. 30, 66 (1989)]. 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.
. [J]. Frontiers of Physics, 2017, 12(3): 121103.
Michael Suleymanov, Lawrence Horwitz, Asher Yahalom. Second quantization of a covariant relativistic spacetime string in Steuckelberg–Horwitz–Piron theory. Front. Phys. , 2017, 12(3): 121103.
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