Instead of expanding the unitary operator into series, as Weinberg roughly did in his book, in section 2.2 I introduce the \(\text{Poincaré Algebra}\) in an mathematical approach.
And in section 2.3 I re-arrange the structure of the vital \(\text{One-particle State}\) and add some original ideas that I deem Weinberg overlooked.
Poincaré Group
This passage introduces algebra structure of Lorentz group in special relativity and introduces technique of tensor analysis and particularly utilizes it to analyzing electrodynamics in 4-dimensional space time.
Continue reading Chapter 2: Special Relativity