- #1
Jonsson
- 79
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I'm taking an introductory course in QFT. During quantization of the Dirac field, my textbook gives a lot of information on how annihilation and creation operators act on vacuum, but nothing about how they act on non-vacuum states. I need these to compute
$$
\int \frac{d^3 p}{(2\pi)^3} \sum_s ( {a^s_ {{\vec{p}}}}^\dagger a^s_ {{\vec{p}}} - {b^s_ {{\vec{p}}}}^\dagger b^s_ {{\vec{p}}} ) |\vec{k},s \rangle,
$$
I have searched google, but I couldn't find anything after about 1 hour of searching.
Are you able to tell me how the annihilation and creation operators from Dirac theory act on non-vacuum?
$$
\int \frac{d^3 p}{(2\pi)^3} \sum_s ( {a^s_ {{\vec{p}}}}^\dagger a^s_ {{\vec{p}}} - {b^s_ {{\vec{p}}}}^\dagger b^s_ {{\vec{p}}} ) |\vec{k},s \rangle,
$$
I have searched google, but I couldn't find anything after about 1 hour of searching.
Are you able to tell me how the annihilation and creation operators from Dirac theory act on non-vacuum?