Unitary representation of the Poincar\'e group for classical relativistic dynamics

• URL: http://arxiv.org/abs/2105.13882v1
• Date: Fri, 28 May 2021 14:44:55 GMT
• Title: Unitary representation of the Poincar\'e group for classical relativistic dynamics
• Authors: A.D. Berm\'udez Manjarres
• Abstract summary: We give a unitary irreducible representation of the Poincar'e group that leads to an operational version of the classical relativistic dynamics of a massive spinless particle. Unlike quantum mechanics, in this operational theory there is no uncertainty principle between position and momentum.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We give a unitary irreducible representation of the proper Poincar\'e group that leads to an operational version of the classical relativistic dynamics of a massive spinless particle. Unlike quantum mechanics, in this operational theory there is no uncertainty principle between position and momentum. It will be shown that the theory contains the Koopman-von Neumann formalism as a particular case, and a explicit connection with relativistic Hamiltonian mechanics will be given.

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