Exercise 5.10.1 Let E and E' two LCF with parallel axes and relative speed ß. Consider a four-vector A which in the LCF
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- Exercise 5 10 1 Let E And E Two Lcf With Parallel Axes And Relative Speed Ss Consider A Four Vector A Which In The Lcf 1 (47.2 KiB) Viewed 18 times
Exercise 5.10.1 Let E and E' two LCF with parallel axes and relative speed ß. Consider a four-vector A which in the LCF and ' has components A = A (19), and (3) = Show that: Aº = (5.12) where A = (AB), A₁ = (A¹-B). [Hint: Consider the Lorentz transformation which connects Σ, Σ': Aº = y(Aº + B.A) A = A' + +³² 2 2 ² ² (B· A²) B+YA²B and in the second equation (a) substitute Aº. Then project parallel to B.]