The propagator, the two-point correlation function, and the two-point Green's function are all synonymous. They are used primarily in quantum mechanics, and quantum field theory. They …

Sep 12, 2016 · 2 Green's functions are not unique. Any solution of that satisfies the homogeneous equation, $$ (\partial_t^2 - \nabla^2 + m^2)f = 0$$ in the region of interest can be added to the …

Feb 5, 2011 · How the Green's functions and the Quantum Mechanics are related? Do they can be used to solve the Schrödinger equation of an particle subjet to some potential that is not a …

In this way you'll find that a spatial Green's function can be written in terms of the electron and hole Green's functions described here. The poles of the time-ordered Green's function will …

Aug 20, 2015 · In literature, usually two types of definition exist for Green's function. $\\hat{L}G=\\delta(x-x')$. This equation states that Green's function is a solution to an ODE …

Is there a use of advanced Green's functions? If yes then when or in which context? In quantum field theory, why do we always use Feynman's prescription for finding the propagator and not …

There is a link between propagators and Green functions given by the Duhamel formula (when one interprets PDEs as an infinite system of ODE i.e. ODE with value in a space of functions …

After having studied canonical quantization and feeling (relatively) comfortable with it, I have now been studying the path integral approach. But I don't feel entirely comfortable with. I have the

Apr 2, 2024 · To be clear, I understand that one can directly compute the 2-point function and substitute the answer in the equations of motion to verify that it is indeed a Green's function. …

Apr 7, 2020 · However, Jackson argues that the Green function above (1st equation) would correspond to a conducting sphere for any Dirichlet boundary condition. Why is this the case?