We study the transport of a small wave packet in the embedding of the Stueckelberg-Horwitz-Piron relativistic quantum theory into the manifold of general relativity around the Schwarzschild solution using a semiclassi...We study the transport of a small wave packet in the embedding of the Stueckelberg-Horwitz-Piron relativistic quantum theory into the manifold of general relativity around the Schwarzschild solution using a semiclassical approximation. We find that the parallel transport of the momentum leads to a geometrical (Berry type) phase.展开更多
A relativistic 4D string is described in the framework of the covariant quantum theory first intro- duced by Stueckelberg [Helv. Phys. Acta 14, 588 （1941）], and further developed by Horwitz and Piron [Helv. Phys. Ac...A relativistic 4D string is described in the framework of the covariant quantum theory first intro- duced 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 Quan- tum 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.展开更多
文摘We study the transport of a small wave packet in the embedding of the Stueckelberg-Horwitz-Piron relativistic quantum theory into the manifold of general relativity around the Schwarzschild solution using a semiclassical approximation. We find that the parallel transport of the momentum leads to a geometrical (Berry type) phase.
文摘A relativistic 4D string is described in the framework of the covariant quantum theory first intro- duced 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 Quan- tum 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.
