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

Research output: Contribution to journal › Article › peer-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 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

Access to Document

10.1103/PhysRevA.89.042111

Publisher version (open access).pdfFinal published version, 184 KB

Link to publication in Scopus

Cite this

@article{6b52ed10f299477b8f9d2fafb8f36f9d,

title = "Localization of relativistic particles and uncertainty relations",

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.",

author = "Terno, {Daniel R.}",

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",

year = "2014",

month = apr,

day = "21",

doi = "10.1103/PhysRevA.89.042111",

language = "English",

volume = "89",

pages = "042111--1--042111--8",

journal = "Physical Review A: covering atomic, molecular, and optical physics and quantum information",

issn = "2469-9926",

publisher = "American Physical Society",

number = "4",

}

TY - JOUR

T1 - Localization of relativistic particles and uncertainty relations

AU - Terno, Daniel R.

N1 - 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

PY - 2014/4/21

Y1 - 2014/4/21

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84899059222&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.89.042111

DO - 10.1103/PhysRevA.89.042111

M3 - Article

AN - SCOPUS:84899059222

VL - 89

SP - 042111-1-042111-8

JO - Physical Review A: covering atomic, molecular, and optical physics and quantum information

JF - Physical Review A: covering atomic, molecular, and optical physics and quantum information

SN - 2469-9926

IS - 4

M1 - 042111

ER -

Localization of relativistic particles and uncertainty relations

Abstract

Bibliographical note

Access to Document

Fingerprint

Cite this