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First I ask this because of similar (mathematical) structures of these relativistic wave equations.

In addition, by quantization definitely I don't mean a canonical (or second) quantization. Moreover, if we also accept that a 1-spin single photon is described quantum mechanically by Maxwell equations, similar to Dirac equation which quantum mechanically describe a single electron (or any single 1/2-spin particle). In this regard, a more explicit discussion could be found in this page: What equation describes the wavefunction of a single photon? .

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    I think the similarity arises because they are both Lorentz covariant, not from any quantisation precedure. – John Rennie Sep 29 '16 at 06:16
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    @John Rennie Thank you John for your comment. I added a note to the question. By quantization I mean a first quantization procedure simply. –  Sep 29 '16 at 13:26

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