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Benedict Irwin edited Quantum.tex
over 9 years ago
Commit id: 39252b56f8393c7c7c64d9d0ee709bb647872c99
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\end{equation}
We can form a different expression for the (same action?) as
the energy integral over some time-like variable which is a function of functions of dynamic energy parmeter $\epsilon$ \begin{equation}
S=\int_{E_1}^{E_2} \Xi(f(E),\dot{f}(E);E) S=\int_{\epsilon_1}^{\epsilon_2} \Xi(f(\epsilon),\dot{f}(\epsilon);\epsilon) \;
\mathrm{dE} \mathrm{d\epsilon}
\end{equation}
Such that we can express an energy as the result by dividing by some time constant $\tau$, \begin{equation}
E=\frac{1}{\tau}\int_{E_1}^{E_2} \Xi(f(E),\dot{f}(E);E) E=\frac{1}{\tau}\int_{\epsilon_1}^{\epsilon_2} \Xi(f(\epsilon),\dot{f}(\epsilon);\epsilon) \;
\mathrm{dE} \mathrm{d\epsilon}
\end{equation}