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:
“Someone approaches to say his life is ruined
and to fall down at your feet
and pound his head upon the sidewalk.”
—David Ignatow (b. 1914)
“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)
“We are the pioneers of the world; the advance-guard, sent on through the wilderness of untried things, to break a new path in the New World that is ours.”
—Herman Melville (1819–1891)