Path integralThis is not about "path integrals" in the sense that means that which was studied by Richard Feynman. See Functional integration.
|Table of contents|
2 Vector calculus
3 Quantum mechanics
The path integral is a fundamental tool in complex analysis. Suppose U is an open subset of C, γ : [a, b] → U is a rectifiable curve and f : U → C is a function. Then the path integral
If γ is a continuously differentiable curve, the path integral can be evaluated as an integral of a function of a real variable: