Functional Integration - Approaches To Path Integrals

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)

    These were not men, they were battlefields. And over them, like the sky, arched their sense of harmony, their sense of beauty and rest against which their misery and their struggles were an offence, to which their misery and their struggles were the only approaches they could make, of which their misery and their struggles were an integral part.
    Rebecca West (1892–1983)

    Among the best traitors Ireland has ever had, Mother Church ranks at the very top, a massive obstacle in the path to equality and freedom. She has been a force for conservatism, not on the basis of preserving Catholic doctrine or preventing the corruption of her children, but simply to ward off threats to her own security and influence.
    Bernadette Devlin (b. 1947)