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The role of the Riemann-Silberstein vector in classical and quantum theories of electromagnetism

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arxiv 1211.2655 v2 pith:SLNBFJ62 submitted 2012-11-08 physics.class-ph quant-ph

Iwo Bialynicki-Birula , Zofia Bialynicka-Birula This is my paper · ORCID
classification physics.class-phquant-ph
keywords vectorclassicaldomainquantumriemann-silbersteinarguebestchoice
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It is shown that the use of the Riemann-Silberstein (RS) vector greatly simplifies the description of the electromagnetic field both in the classical domain and in the quantum domain. In this review we describe many specific examples where this vector enables one to significantly shorten the derivations and make them more transparent. We also argue why the RS vector may be considered as the best possible choice for the photon wave function.

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