Hello! I read that if we apply the exactly same procedure for Dirac theory as we did for Klein Gordon, in quantizing the field, we obtain this hamiltonian: ##H=\int{\frac{d^3p}{(2\pi)^3}\sum(E_pa_p^{s\dagger}a_p^s-E_pb_p^{s\dagger}b_p^s)}## and this is wrong as by applying the creation operator ##b^\dagger## you can lower the energy indefinitely. I am not sure I understand why, as at the same time, ##a^\dagger## should rise the energy by the same amount (in the end this hamiltonian wouldn't change the energy at all). So can someone explain to me how this is working? Thank you!(adsbygoogle = window.adsbygoogle || []).push({});

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# I Dirac wrong Hamiltonian

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