# Brownian motion.

1. Apr 27, 2007

### tpm

HI, i would need some help to solve the Brownian motion given by the Weiner Integral(over paths):

$$\int \mathcal D [x_{t}]exp(-\int dt (m/2(\dot x)^{2}-V(x))$$

for the case $$V(x)=\delta (x) +\delta (x-1)+\delta (x-2)$$

any help would be appreciated, thanks

2. Apr 27, 2007

### lalbatros

What do you mean by that: "solve the Brownian motion" ?

3. Apr 29, 2007

### Jason Swanson

Can you please explain your notation? In particular, what is $$x_t$$, what is $$\dot x$$, and what is $$\mathcal D$$?