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Path integral formulation (Due to Feynman) is a major formulation of Quantum Mechanics along with Matrix mechanics (Due to Heisenberg and Pauli), Wave Mechanics (Due to Schrodinger), and Variational Mechanics (Due to Dirac). DO NOT USE THIS TAG for line/contour integrals.
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Gaussian integral of a function with non-zero mean (generalizing Wick theorem)
From the wikipedia article, for a Gaussian integral of an analytic function we have that
This is equivalent to the Wick theorem when $f(x)$ is a polynomial.
Now I'm trying to obtain a similar formula …