Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1207.2841 · Physical Review Letters

Comment on “Uncertainty Relation for Photons”

Zhiyong Wang, Cai-Dong Xiong, Qi Qiu

Published Nov 2, 2012• 5 citations
arXivHTMLPDF

Abstract

In a recent interesting Letter [Phys. Rev. Lett. 108, 140401 (2012)] I. Bialynicki-Birula and his coauthor have derived the uncertainty relation for the photons in three dimensions. However, some of their arguments are problematical, and this impacts their conclusion.
DOI
10.1103/physrevlett.109.188901

Related papers

Comment on "Can Two-Photon Correlation of Chaotic Light be Considered as Correlation of Intensity Fluctuations ?"

Avi Pe’er

A Comment on the Letter by G. Scarcelli, V. Berardi and Y. Shih, Phys. Rev. Lett. 96, 063602 (2006).

arXiv:quant-ph/0605131•May 15, 2006•1 citation

Heisenberg uncertainty relations for relativistic bosons

Iwo Białynicki‐Birula, Adam Prystupiuk

This work completes the program started by I. Bialynicki-Birula and Z. Bialynicka-Birula [Uncertainty relation for photons, Phys. Rev. Lett. 108, 140401 (2012); Heisenberg uncertainty relation for photons, Phys. Rev. A 86, 022118 (2012); Heisenberg uncertainty relation for relativistic electrons, New J. Phys. 21, 073036 (2019)] to derive the Heisenberg uncertainty relation for relativistic particles. Sharp uncertainty relations for massive relativistic particles with spin 0 and spin 1 are derived. The main conclusion is that the uncertainty relations for relativistic bosons are markedly different from those for relativistic fermions. The uncertainty relations for bosons are based on the energy density. It is shown that the uncertainty relations based on the time component of the four-current, as we have done previously for electrons, are untenable because they lead to contradictions.

arXiv:2103.02514•Physical Review A•May 20, 2021•6 citations

On the photon arrival-time-energy uncertainty relation

S. N. Molotkov

A lower bound is obtained for the photon arrival-time-energy uncertainty relation.

Journal of Experimental and Theoretical Physics•Jan 1, 2009•1 citation

Anyons Live in Non-Commutative Space: A First Principles Demonstration

J. Majhi, Subir Ghosh

In this paper we have successfully established (from first principles) that anyons do live in a 2-dimensional {\it{noncommutative}} space. We have directly computed the non-trivial uncertainty relation between anyon coordinates, ${\sqrt{\Delta x^2\Delta y^2}}=\Theta\sigma$, using the recently constructed anyon wave function [J. Majhi, S. Ghosh and S.K. Maiti, Phys. Rev. Lett. \textbf{123}, 164801 (2019)] \cite{jan}, in the framework of I. Bialynicki-Birula and Z. Bialynicka-Birula, New J. Phys. \textbf{21}, 07306 (2019) \cite{bel}. Furthermore we also compute the Heisenberg uncertainty relation for anyon and as a consistency check, show that the results of \cite{bel} prove that, as expected, electrons live in 3-dimensional commutative space.

•Jul 20, 2021•0 citations

Uncertainty relations in quantum optics. Is the photon intelligent?

Maciej Przanowski, Hugo García-Compeán, Jaromir Tosiek +1 more

arXiv:1511.04215•Annals of Physics•Jul 8, 2016•4 citations

Uncertainty relations for light waves and the concept of photons

D. Han, Y. S. Kim, Marilyn E. Noz

Springer eBooks•Jan 1, 1988•0 citations
This work completes the program started by I. Bialynicki-Birula and Z. Bialynicka-Birula [Uncertainty relation for photons, Phys. Rev. Lett. 108, 140401 (2012); Heisenberg uncertainty relation for photons, Phys. Rev. A 86, 022118 (2012); Heisenberg uncertainty relation for relativistic electrons, New J. Phys. 21, 073036 (2019)] to derive the Heisenberg uncertainty relation for relativistic particles. Sharp uncertainty relations for massive relativistic particles with spin 0 and spin 1 are derived. The main conclusion is that the uncertainty relations for relativistic bosons are markedly different from those for relativistic fermions. The uncertainty relations for bosons are based on the energy density. It is shown that the uncertainty relations based on the time component of the four-current, as we have done previously for electrons, are untenable because they lead to contradictions.
In this paper we have successfully established (from first principles) that anyons do live in a 2-dimensional {\it{noncommutative}} space. We have directly computed the non-trivial uncertainty relation between anyon coordinates, Δx2Δy2=Θσ{\sqrt{\Delta x^2\Delta y^2}}=\Theta\sigmaΔx2Δy2​=Θσ, using the recently constructed anyon wave function [J. Majhi, S. Ghosh and S.K. Maiti, Phys. Rev. Lett. \textbf{123}, 164801 (2019)] \cite{jan}, in the framework of I. Bialynicki-Birula and Z. Bialynicka-Birula, New J. Phys. \textbf{21}, 07306 (2019) \cite{bel}. Furthermore we also compute the Heisenberg uncertainty relation for anyon and as a consistency check, show that the results of \cite{bel} prove that, as expected, electrons live in 3-dimensional commutative space.