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 closer a man approaches tragedy the more intense is his concentration of emotion upon the fixed point of his commitment, which is to say the closer he approaches what in life we call fanaticism.”
—Arthur Miller (b. 1915)
“It may have been observed that there is no regular path for getting out of love as there is for getting in. Some people look upon marriage as a short cut that way, but it has been known to fail.”
—Thomas Hardy (1840–1928)