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A reference frame is a particular coordinate system chosen to represent physical entities. The notion is most often used in special and general relativity to denote particular coordinates chosen on the spacetime manifold.
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Why the Galileo transformation are written like this in Quantum Mechanics?
Note that first of all, in a Galilean transformation, from $S$ to $S'$, a particle of constant momentum will have its energy be different in $S'$ than $S$ because kinetic energy is proportional to the …