Localization of relativistic particles and uncertainty relations

Daniel R. Terno

doi:10.1103/PhysRevA.89.042111

Localization of relativistic particles and uncertainty relations

Daniel R. Terno^*

^*Corresponding author for this work

Macquarie University Research Centre in Quantum Science and Technology

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

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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 an effective 3×3 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 ΔpΔz=12.

Original language	English
Article number	042111
Pages (from-to)	042111-1-042111-8
Number of pages	8
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	89
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevA.89.042111
Publication status	Published - 21 Apr 2014

Bibliographical note

Terno, D. R. (2014). Localization of relativistic particles and uncertainty relations. Physical Review A, 89(4), 042111. Copyright (2014) by the American Physical Society. The original article can be found at http://dx.doi.org/10.1103/PhysRevA.89.042111

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Localization of relativistic particles and uncertainty relations

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