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Quantum Simulation
Time and energy operators in the canonical quantization of special relativity
arXiv
Authors: C. A. Aguillón, M. Bauer, G. E. García
Year
2019
Paper ID
14939
Status
Preprint
Abstract Read
~2 min
Abstract Words
69
Citations
N/A
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.
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- 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...
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