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}