Elementary derivation of the expressions of momentum and energy in special relativity

The derivation of the expressions of momentum and energy of a particle in special relativity is often less than satisfactory in elementary texts. In some, it is obtained by resorting to quantum or electrodynamic considerations, in others by introducing non-elementary concepts, like that of a four-vector, or even misleading ones, like “relativistic mass”. Nevertheless it is possible, following ideas described by Einstein in 1935, to obtain a fully elementary derivation of these expressions based only on the Lorentz transformations, on the conservation laws, and on the Newtonian limit. The resulting argument allows for a clearer and logically consistent introduction to the basic concepts of relativistic dynamics.

Saved in:
Bibliographic Details
Main Author: Peliti,Luca
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Física 2016
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172016000200412
Tags: Add Tag
No Tags, Be the first to tag this record!