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Haifeng Yang edited Quantize K G Field.tex
over 10 years ago
Commit id: a4664303e185ac5d71c434d9643033361078028f
deletions | additions
diff --git a/Quantize K G Field.tex b/Quantize K G Field.tex
index b341beb..0fdcfa7 100644
--- a/Quantize K G Field.tex
+++ b/Quantize K G Field.tex
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Note the sign difference, as $\hat{\phi}(\mathbf{x})$ must be Hermitian.
$$[a_\mathbf{k}, a_\mathbf{k'}^\dagger] = (2\pi)^3 \delta(\mathbf{k} - \mathbf{k'})$$
$$\hat{H} = \int \frac{d^3 k}{(2\pi)^3 } \omega_\mathbf{k}
\left(a_\mathbf{k}^\daggera_\mathbf{k'} \left(a_\mathbf{k}^\dagger a_\mathbf{k'} + \frac{1}{2}\right)$$