Understanding Brownian Motion with Weiner Integral and Delta Functions

[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

 

[lalbatros]

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

 

[Jason Swanson]

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

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