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Oct 10, 2014 at 12:01 comment added Ruslan Shouldn't $\vec k$ incorporate the $2\pi$ factor in your formula?
Oct 10, 2014 at 10:22 comment added gatsu I guess that the argument consists in substance to realize that both $\vec{k}$ (from the shape of its contribution to the phase) and $\vec{p}$ (because it is the generator of the Lie spacial translation group) perform a translation of the system by a vector $\vec{x}$; thus they have to be proportional. I am not sure, invoking special relativity is necessary here, or at least I wonder whether it is really necessary.
Oct 10, 2014 at 10:15 vote accept Muster Mark
Oct 10, 2014 at 10:09 history answered Danu CC BY-SA 3.0