A short derivation of the relativistic forms of energy and momentum

In summary, the conversation discusses the derivation of the relativistic energy and momentum equations in one spatial dimension. The approach involves using the conservation of energy and momentum in different frames and switching to rapidity instead of velocity. The derivation also involves using the work-energy equation and Noether's theorem for Poincare invariance. The final result is the energy and momentum equations in terms of rapidity for a single particle.
  • #36
vanhees71 said:
Yes, in this way you define the total mass of a closed system, but that's not the mass of the particle. It's mass defined by ##P_{\mu} P^{\mu}=M^2 c^2##, where ##P^{\mu}## is the (conserved!) total four-vector of the system.
Never, ever, did I say anything about particle mass. I explicitly said that’s not what I was referring to, from the very first post on this.
 
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  • #37
Sorry for the misunderstanding.
 

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