Recent content by NessunDorma

Yes, it seems that space translations are always assumed to be a symmetry transformation. However, I wonder if there is a way to obtain this result from equation X→X+a.

I do not see how relativity allows you to prove that the map is a one-to-one correspondence between unit rays.

Some books argue that typical coordinate transformations such as space translations and rotations are represented in quantum mechanics by unitary operators because the Wigner's theorem. However I do not find any clear proof of this. For instance, suppose 1D for the sake of simplicity, by...