Approaches To Path Integrals
Functional integrals where the space of integration are paths (ν = 1) can be defined in many different ways. The definitions fall in two different classes: the constructions derived from Wiener's theory yield an integral based on a measure; whereas the constructions following Feynman's path integral do not. Even within these two broad divisions, the integrals are not identical, that is, they are defined for different classes of functions.
Read more about this topic: Functional Integration
Famous quotes containing the words approaches to, approaches and/or path:
“Perfect happiness I believe was never intended by the deity to be the lot of any one of his creatures in this world; but that he has very much put in our power the nearness of our approaches to it, is what I steadfastly believe.”
—Thomas Jefferson (1743–1826)
“The Oriental philosophy approaches easily loftier themes than the modern aspires to; and no wonder if it sometimes prattle about them. It only assigns their due rank respectively to Action and Contemplation, or rather does full justice to the latter. Western philosophers have not conceived of the significance of Contemplation in their sense.”
—Henry David Thoreau (1817–1862)
“To have his path made clear for him is the aspiration of every human being in our beclouded and tempestuous existence.”
—Joseph Conrad (1857–1924)