Publication: Descriptions of Relativistic Dynamics with World Line Condition
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2019-10-19
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MDPI
Abstract
In this paper, a generalized form of relativistic dynamics is presented. A realization of the Poincaré algebra is provided in terms of vector fields on the tangent bundle of a simultaneity surface in R4 . The construction of this realization is explicitly shown to clarify the role of the commutation relations of the Poincaré algebra versus their description in terms of Poisson brackets in the no-interaction theorem. Moreover, a geometrical analysis of the "eleventh generator" formalism introduced by Sudarshan and Mukunda is outlined, this formalism being at the basis of many proposals which evaded the no-interaction theorem.
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Keywords
Relativistic dynamics, No-interaction theorem, World line condition
Bibliographic citation
Ciaglia, F. M., Di Cosmo, F., Ibort, A., & Marmo, G. (2019). Descriptions of relativistic dynamics with world line condition. Quantum reports, 1(2), 181-192.