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Haifeng Yang edited Quantizing K G equation.tex
over 10 years ago
Commit id: 7c206034575f397632b82242e66277b8eb1fe3e1
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diff --git a/Quantizing K G equation.tex b/Quantizing K G equation.tex
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\item Action: (Lagrangian density and Lagrangian)
$$S[\phi(\mathbf{x},t)] = \int_{t_1}^{t_2} dt \int d^3 x \mathcal{L}(\phi(\mathbf{x},t), \dot{\phi}(\mathbf{x},t), \nabla\phi(\mathbf{x},t))$$
Example:
small \begin{enumerate}
\item Small transverse fluctuations of a violin strings. $\mathcal{L} = \frac{1}{2}\rho \dot{\phi}^2 - \frac{1}{2} T (\phi')^2$
\item EM in $A_0 = 0$ gauge. $\mathcal{L} = -\frac{1}{4}F_{\mu \nu}F^{\mu \nu}$
\end{enumerate}
\end{enumerate}