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arXiv · 1308.0479

Localization of relativistic particles and uncertainty relations

Daniel R. Terno
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Abstract

Localization of relativistic particles and their position-momentum uncertainty relations are not yet fully understood. We discuss two schemes of photon localization that are based on the energy density. One scheme produces a positive operator-valued measure for localization. It coincides with the number density operator and reproduces the effective 3x3 polarization density matrix. Another scheme results in a probability distribution that is conditioned on the detection. In both schemes the uncertainty relations for transversal position and momentum approach the Heisenberg bound $Δp Δz= \hbar/2$

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Daniel R. Terno. 2014-04-27. Localization of relativistic particles and uncertainty relations. https://doi.org/10.1103/physreva.89.042111

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