Commutation Relations: Relativistic Quantum Mechanics

[touqra]

Does the usual commutation relations, e.g. between position and momentum, remains valid in relativistic quantum mechanics?

 

[Meir Achuz]

Yes in one particle RQM like the Dirac equation.
But things get more complicated in QFT.

 

[dextercioby]

No, because there's no such thing as time operator in quantum mechanics.

Daniel.

 

[StatMechGuy]

As far as I'm aware, there's no such thing as a time operator in field theory. My understanding was that, for field theory, they demoted position to a parameter like time, and promoted the wave equation to the status of an operator.