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Advanced Physics Homework Help
4-momentum and relative velocity
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[QUOTE="scottJH, post: 4971309, member: 537918"] [h2]Homework Statement [/h2] In a particular frame of reference a particle with 4-momentum ##P_p## is observed by an observer moving with 4-momentum ##P_o##. Derive an expression for the speed of the particle relative to the observer in terms of the invariant ##P_p.P_o## I am completely stuck on this question. Any help would be appreciated. [h2]Homework Equations[/h2] [h2]The Attempt at a Solution[/h2] I used the equations ##P_p = m_p\gamma(u_p, ic)## and ##P_o = m_o\gamma(u_o, ic)## I tried to obtain ##P_p.P_o## in the rest frame of the observer and obtained ##P_p.P_o = m_pm_o\gamma(-c^2)## where ##\gamma## is in terms of ##u_p## This is because ##\gamma## in terms of ##u_o## is equal to 1 in the rest frame of the observer I'm pretty sure that my answer is incorrect. However even if it is correct I am unsure how I would be able to determine the relative velocity from it. [/QUOTE]
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4-momentum and relative velocity
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