Hello, I'm sorry if this question sounds silly, but in QM the Momentum Operator is ##{\hat{p}}=-i{\hbar}{\nabla}## . In Relativistic QM in Flat Space, this operator can be written ##{\hat{P}_{\mu}}=-i{\hbar}{\partial}_{\mu}## . Would it be correct, then, to say that in curved spacetime the momentum operator would be ##{\hat{P}_{\mu}}=-i{\hbar}{\nabla}_{\mu}## ? Here ##{\nabla}## represents the gradient, ##{\partial}_{\mu}## is the Four-Gradient, while ##{\nabla}_{\mu}## is the covariant derivative. Again, sorry if this is a naïve question and please correct me if I am mistaken in my line of thinking :) .(adsbygoogle = window.adsbygoogle || []).push({});

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# Momentum Operator In Curved Spacetime

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