Noetherian conservation laws for photons

Michael K.-H. Kiessling , A. Shadi Tahvildar-Zadeh

Communications in Analysis and Mechanics ›› 2025, Vol. 17 ›› Issue (2) : 606 -629.

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Communications in Analysis and Mechanics ›› 2025, Vol. 17 ›› Issue (2) :606 -629. DOI: 10.3934/cam.2025024
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Noetherian conservation laws for photons
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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.

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photon wave function / relativistic quantum mechanics / Dirac’s equation / gauge-invariant conservation laws

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Michael K.-H. Kiessling, A. Shadi Tahvildar-Zadeh. Noetherian conservation laws for photons. Communications in Analysis and Mechanics, 2025, 17 (2) : 606-629 DOI:10.3934/cam.2025024

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