Talk:Quantization of the electromagnetic field

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I read the article and have some questions.

1. Why is the assumption made that the k-space waves are in a box? "a consequence of the boundary condition that A has the same value on opposite walls of the box". I can see that the assumption allows stacking of the boxes. Thus extending the analysis to all of space. But it imposes a limit on the lowest value of k.
2. Why are the k-space Fourier coefficients for the magnetic potential chosen to become operators? Why weren't the E or B Fourier coefficients chosen?
3. What motivated someone (Was it Dirac?) to quantize using this approach? It's not at all obvious. Was it a wild ass guess? What was it guided by? What was the insight?
4. Under Quantization of EM field it shows commutation rules. Why impose these rules? Does imposing these rules make a(t) a creation/annihilation operator? If it does make them creation/annihilation operators, why do that? — Preceding unsigned comment added by Chgenly (talk • contribs) 20:17, 17 November 2013 (UTC)[reply]

Thanks. chgenly — Preceding unsigned comment added by Chgenly (talk • contribs) 20:13, 17 November 2013 (UTC)[reply]