Measure for the Path Integral
Quick Reminder to self:
The measure for the path integral, normally written
\begin{eqnarray}
\langle q_F \vert e^{-iHT}\vert q_i \rangle &=& \int Dq
e^{\frac{i}{\hbar}\int L(q,\dot{q},t)dt}
\end{eqnarray}
is
\begin{eqnarray}
\int Dq &=& \lim_{N \to \infty}\left( \frac{2\pi m}{i \delta t}
\right)^{N/2} \int \cdots \int dq_1 dq_2 \cdots dq_N
\end{eqnarray}