Unitary representation of the Poincar\'e group for classical relativistic dynamics
Quantum Physics
2021-07-07 v1
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.
Keywords
Cite
@article{arxiv.2105.13882,
title = {Unitary representation of the Poincar\'e group for classical relativistic dynamics},
author = {A. D. Bermúdez Manjarres},
journal= {arXiv preprint arXiv:2105.13882},
year = {2021}
}