Physics Asked on July 22, 2021
In Walter Greiner book about relativistic quantum mechanics, he writes the uncertainty relations for 4-position and 4-momentum in a neat way as:
$$[p^mu, x^nu] = ihbar eta^{munu}{bf 1}$$
with Minkowski sign convention $(+,-,-,-)$.
This gives manifestly all the uncertainty relations we want.
But here, time is just a coordinate, so how do we interpret the commutation relation between time and energy?
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