Localization of relativistic particles and uncertainty relations

Daniel R. Terno*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)
57 Downloads (Pure)

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 languageEnglish
Article number042111
Pages (from-to)042111-1-042111-8
Number of pages8
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume89
Issue number4
DOIs
Publication statusPublished - 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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