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I have a question concerning path integrals. I have seen it for the first time in a course "many-particle physics", so if the path integral has a wider use: I don't know anything about it. Please think about that when you anser .

As far as I understood:

1.Green's function is the solution to the Schrödinger eqation. And the time evolution of a state can be expressed via the Green's function.

2.When you define: G= exp(i/h * S), the S is the quantum analog of the classical action.

3.The Green's function can be written in a path intergral by dividing the time in small enough steps and (???) the non commutativity of operators can be neglected.

Are these three points correct? And also: why is the connection between S and the classical action mentioned in my course? I suspect that a quantum system can be understood by considering the classical paths or something like that.

But I am not sure at all!!

Please clarify all this a bit for me. Thanks.

jii

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# Green's function, path intergals, aaarrrgghh

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