# Semiclassical propagator:

1. Nov 9, 2006

If we have SE (or other differential equation) defining the propagator by:

$$(\frac{\partial}{\partial t}-H(q,p))G(x,s)=\delta (x-s)$$

then my question is..can you define a "semiclassical" operator?..i mean in the sense that it would solve approximately the equation (1) above but in WKB representation, ... does it satisfy some kind of Hamilton-Jacobi equation?..:grumpy: :grumpy:

2. Nov 10, 2006

### dextercioby

Can you define "t,x,s,q,p" in your eq.? By the looks of it, it doesn't make too much sense to me.

Daniel.

3. Nov 10, 2006

Sorry "dextercioby" ^_^ perhaps..is it clearer if i put $$G(x,x')$$ where here x means $$x=(x,y,z,t)$$