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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations Quantum Simulation

Duality and helicity: the photon wave function approach

arXiv
Authors: M. Elbistan, P. A. Horvathy, P. -M. Zhang

Year

2016

Paper ID

43899

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

Abstract

The photon wave equation proposed in terms of the Riemann-Silberstein vector is derived from a first-order Dirac/Weyl-type action principle. It is symmetric w.r.t. duality transformations, but the associated Noether quantity vanishes. Replacing the fields by potentials and using instead a quadratic Klein-Gordon-type Lagrangian allows us to recover the double-Chern-Simons expression of conserved helicity and is shown to be equivalent to recently proposed alternative frameworks. Applied to the potential-modified theory the Dirac/Weyl-type approach yields again zero conserved charge, whereas the Klein-Gordon-type approach applied to the original setting yields Lipkin's "zilch".

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • The photon wave equation proposed in terms of the Riemann-Silberstein vector is derived from a first-order Dirac/Weyl-type action principle.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1608.08573 [2] arXiv https://arxiv.org/abs/1608.08573 [3] Publisher https://arxiv.org/abs/1608.08573

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