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Quantum Mechanics is $U(1)$ invariant, hence $X$ is isotropic?

Discussion in 'Physics' started by JakobH, Oct 8, 2018.

  1. JakobH

    JakobH Guest

    Since our fundamental laws are invariant under rotations. Hence, we say that spacetime isotropic.

    Now Quantum Mechanics is invariant under (global) complex rotations ($U(1)$ transformations. Hence, we say that $X$ is isotropic.

    In other words, what is the correct analogous space $X$ here and is "isotropic" the correct term used?

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