CONFERENCE PROCEEDINGS
Advanced Search
Home > Proceedings > Volume 9664 > Article
Open Access Paper
24 October 2005 Slow photons in vacuum as elementary particles
Chander Mohan Singal
Author Affiliations +
Proceedings Volume 9664, Ninth International Topical Meeting on Education and Training in Optics and Photonics; 96642T (2005) https://doi.org/10.1117/12.2207784
Event: Ninth International Topical Meeting on Education and Training in Optics and Photonics, 2005, Marseille, France
Abstract
Maxwell equations for Electro-magnetic(EM) vector fields E and B are solved in vacuum, free from charges and currents, and EM wave packets propagating in z direction are formed using cylindrical coordinates ( s, φ, z ) with an average propagation vector k0 and a radial parameter γ used for defining Bessel function Jn ( γ s ) of n'th order. It is shown that these wave packets have a group velocity vg= ck0 / [k02+γ2]0.5 smaller than the standard velocity c of light in vacuum, and they spread in z direction with progression of time, like particles having non-zero rest mass m0 = ħ γ / c. It is shown that these slow photons can describe motion of elementary particles like electrons and protons with regard to their velocity and linear momentum . Quantization of energy U of these EM wave packets is done using the condition U = ħ c [k02 + γ2 + σ2]0.5 and then the angular momentum determined for them, (here σ is the standard deviation in the propagation vector k ). After quantization, the z components of the linear momentum and angular momentum of the wave packets are found to be ħ k0 and n ħ , respectively. It is shown that for γ much smaller than k0 these wave packets can appear like light photons , and for γ much larger than k0 these wave packets can appear like electrons and protons, with regard to their mechanics.
© (2005) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Citation Download Citation
Chander Mohan Singal "Slow photons in vacuum as elementary particles", Proc. SPIE 9664, Ninth International Topical Meeting on Education and Training in Optics and Photonics, 96642T (24 October 2005); https://doi.org/10.1117/12.2207784
PROCEEDINGS
 6 PAGES
DOWNLOAD PAPER SAVE TO MY LIBRARY
GET CITATION
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Photons
Electrons
Particles
Bessel functions
Elementary particles
Quantization
Wave propagation
RELATED CONTENT
Subscribe to Digital Library
Receive Erratum Email Alert
Back to Top