Unitary representation of the Poincaré group for classical relativistic dynamics
arXiv:2105.13882 · doi:10.1016/j.aop.2021.168539
Abstract
We give a unitary irreducible representation of the proper Poincaré 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.
References in corpus (6)
- The Born Rule in Quantum and Classical Mechanics
- Topics in Koopman-von Neumann Theory
- Hybrid classical-quantum formulations ask for hybrid notions
- Ermakov-Lewis invariant in Koopman-von Neumann mechanics
- Classical dynamics from a unitary representation of the Galilei group
- Galilean covariance of quantum-classical hybrid systems of the Sudarshan type