Heisenberg picture manifests Lorentz invariance?

cosmic dust · Nov 8, 2012

In several textbooks of QM I have read that Lorentz invariance is manifest in Heisnberg picture. How can we deduce that?

The_Duck · Nov 8, 2012

In QFT in the Heisenberg picture, we have operators which are functions of space and time, and states which are functions of neither space nor time. This is good, because space and time should be on equal footing in a Lorentz invariant theory. But in the Schrödinger picture, we have operators which are functions of space and states which are functions of time. Here the Lorentz invariance of the theory is not manifest, since we are treating space and time differently.

cosmic dust · Nov 8, 2012

I think I got it... Thank's.

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