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arXiv:1911.03371 [quant-ph]AbstractReferencesReviewsResources

Time and energy operators in the canonical quantization of special relativity

C. A. Aguillón, M. Bauer, G. E. García

Published 2019-11-08Version 1

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.

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