Saturday 14 December 2019

classical mechanics - Deriving $p = mv$ from translational symmetry (momentum conservation law)?



"In classical mechanics, momentum is defined as the quantity which is conserved under global spatial translations or, alternatively, as the generator of spatial translations." (G.Parisi, Quantum mechanics)



From this definition (the generator of spatial translation), how can I obtain the analytical expression of the momentum (i.d. $p=mv$)?




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