We reconsider a model of two relativistic particles interacting via a multiplicative potential, as an example of a simple dynamical system with sectors, or branches, with different dynamics and degrees of freedom.The presence or absence of sectors depends on the values of rest masses. Some aspects of the canonical quantization are described. The model could be interpreted as a bigravity model in one dimension.
Dynamical sectors of a relativistic two particle model / D. Dominici;J. Gomis;K. Kamimura;G. Longhi. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - ELETTRONICO. - D89:(2014), pp. 045001-1-045001-9. [10.1103/PhysRevD.89.045001]
Dynamical sectors of a relativistic two particle model
DOMINICI, DANIELE;LONGHI, GIORGIO
2014
Abstract
We reconsider a model of two relativistic particles interacting via a multiplicative potential, as an example of a simple dynamical system with sectors, or branches, with different dynamics and degrees of freedom.The presence or absence of sectors depends on the values of rest masses. Some aspects of the canonical quantization are described. The model could be interpreted as a bigravity model in one dimension.
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