Time and energy operators in the canonical quantization of special relativity
Quantum Physics
2020-04-22 v2
Abstract
Based on Lorentz invariance and Born reciprocity invariance, the canonical quantization of Special Relativity (SR) is shown to provide a unified origin for: i) the complex vector space formulation of Quantum Mechanics (QM); ii) the momentum and space commutation relations and the corresponding representations; iii) the Dirac Hamiltonian in the formulation of Relativistic Quantum Mechanics (RQM); iv) the existence of a self adjoint Time Operator that circumvents Pauli's objection.
Keywords
Cite
@article{arxiv.1911.03371,
title = {Time and energy operators in the canonical quantization of special relativity},
author = {C. A. Aguillón and M. Bauer and G. E. García},
journal= {arXiv preprint arXiv:1911.03371},
year = {2020}
}
Comments
11 pages