I know this is an old post but I got stuck on this for a little while too. I don't know the general answer but to prove that it is true for stationary states is fairly straightforward. Sticking in the Schrodinger picture:
$$\langle \mathbf{x} \cdot \mathbf{p} \rangle = \langle \psi(x,t) |...
Are you saying that Wigner functions are on phase space where phase space is the cotangent bundle of space, whereas path integrals are on spacetime, and this is the reason we can't get straight between them? Are you saying there is no direct link or that we just need the extra structure of a...
HI naima. Thanks for you responses. Just to double check, you are referring to the Samson paper given by stevendaryl right? I looked at it but it didn't feel to be space-timey so I left it. (cheer for putting it on here though stevendaryl)
Hi atyy, thank you for your response too. I am...
Entanglement is the name we give to nature's violation of Bell's inequalities. Bell's inequalities are derived from the consideration of a local universe. Quantum mechanics predicted this violation and it was verified in the http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.47.460...
I don't understand the bit in the introductory part of the paper where it says:
"models that maintain locality but violate determinism (standard operational quantum theory is an example)."
To my mind quantum mechanics is certainly non-local. Can someone explain what the authors mean...
I guess that I am trying to get a direct link so that I don't have to go near Hilbert spaces. The phase space is the tangent bundle of the configuration space so I was hoping for some direct path between the two ideas.
My intuition comes from the fact that the phase space variables pop up in...
I am trying to conceptually connect the two formulations of quantum mechanics.
The phase space formulation deals with quasi-probability distributions on the phase space and the path integral formulation usually deals with a sum-over-paths in the configuration space.
I see how they both lead...