I would expect that the Heisenberg equation of motion for the Dirac field would yield the Dirac equation. Indeed, these lecture notes claim it as a fact in eq 7.7 but without proof. My trouble is that I know the anti-commutation rules for the Dirac field but I don't know how to calculate the(adsbygoogle = window.adsbygoogle || []).push({}); commutatorwith Hamiltonian, even if the Hamiltonian is expressed in terms of the field itself.

Can someone here provide some hints or tips?

Here is an old thread I started years ago on the same question.

https://www.physicsforums.com/showthread.php?t=235116

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# Heisenberg equation of motion for the Dirac field?

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