Subluminal and superluminal velocities of free-space photons

Fuente: arXiv
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Autore principale: Bliokh, Konstantin Y.
Natura: Preprint
Pubblicazione: 2026
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author Bliokh, Konstantin Y.
author_facet Bliokh, Konstantin Y.
contents We consider rectilinear free-space propagation of electromagnetic wavepackets using electromagnetic field theory, scalar wavepacket propagation, and quantum-mechanical formalism. We demonstrate that spatially localized wavepackets are inherently characterized by a subluminal group velocity and a superluminal phase velocity, whose product equals $c^2$. These velocities are also known as the 'energy' and 'momentum' velocities, introduced by K. Milton and J. Schwinger. We illustrate general conclusions by explicit calculations for Gaussian and higher-order beams and wavepackets, and also highlight subtleties of the quantum-mechanical description based on the 'photon wavefunction'.
format Preprint
id arxiv_https___arxiv_org_abs_2602_17576
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Subluminal and superluminal velocities of free-space photons
Bliokh, Konstantin Y.
Quantum Physics
Optics
We consider rectilinear free-space propagation of electromagnetic wavepackets using electromagnetic field theory, scalar wavepacket propagation, and quantum-mechanical formalism. We demonstrate that spatially localized wavepackets are inherently characterized by a subluminal group velocity and a superluminal phase velocity, whose product equals $c^2$. These velocities are also known as the 'energy' and 'momentum' velocities, introduced by K. Milton and J. Schwinger. We illustrate general conclusions by explicit calculations for Gaussian and higher-order beams and wavepackets, and also highlight subtleties of the quantum-mechanical description based on the 'photon wavefunction'.
title Subluminal and superluminal velocities of free-space photons
topic Quantum Physics
Optics
url https://arxiv.org/abs/2602.17576