All Questions
2 questions
2
votes
1
answer
376
views
How to use saddle point approximation with path integrals?
i would like to evaluate $$\int\mathcal{D}x\ e^{-\int\limits_{-\infty}^{\infty} dt\ (\dot x+\alpha x)^2}\tag{1}$$
and it is my understanding that the way to do so is using the saddle point ...
- 31
1
vote
1
answer
180
views
Stationary Phase approximation with multiple coordinates?
The stationary phase approximation can be used to find an approximate value for the path integral
\begin{equation}\int Dx e^{-S[x]} \approx e^{-S[\bar{x}]} \left(\det{\frac{\hat{A}}{2 \pi}}\right)^{-1/...
