Noetherian conservation laws for photons

We review the formulation of a Lorentz-covariant bispinorial wave function and wave equation for a single photon on a flat background. We show the existence of a 10-dimensional set of conservation laws for this equation, and prove that 8 of these can be used to obtain global, gauge-invariant, ADM-like quantities that together define a covariantly constant self-dual bispinor.

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Publication Details

Journal
Communications in Analysis and Mechanics
Published
2025-01-01
DOI
https://doi.org/10.3934/cam.2025024
Primary Topic
Advanced Mathematical Physics Problems
Type
article
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article

Noetherian conservation laws for photons

A. Shadi Tahvildar‐Zadeh, Michael K.‐H. Kiessling
Communications in Analysis and Mechanics
Advanced Mathematical Physics Problems
article

Noetherian conservation laws for photons

A. Shadi Tahvildar‐Zadeh, Michael K.‐H. Kiessling
article en

Abstract

We review the formulation of a Lorentz-covariant bispinorial wave function and wave equation for a single photon on a flat background. We show the existence of a 10-dimensional set of conservation laws for this equation, and prove that 8 of these can be used to obtain global, gauge-invariant, ADM-like quantities that together define a covariantly constant self-dual bispinor.

Communications in Analysis and MechanicsVol. 17(2)
Rutgers, The State University of New Jersey (US)
Life in Land
Openalex Percentile: Top 80%
Advanced Mathematical Physics Problems
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Noetherian conservation laws for photons — A. Shadi Tahvildar‐Zadeh, Michael K.‐H. Kiessling · Communications in Analysis and Mechanics (2025) | TGRS Research Map | TGRS