1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Definition of Feynmann integral ?

  1. Apr 20, 2007 #1


    User Avatar

    Definition of Feynmann integral ??

    Using the definition of integral as a limit of certain sums...couldn't we define an integral over paths [tex] x(t) [/tex] as the limit whenever 'epsilon' tends to 0 of the Sum:

    [tex] \sum _{i} F[x(t)] (L[x(t)+i \delta (t-t')]-L[x(t)+(i-1)\delta (t-t')]) [/tex]

    Where F is a functional and [tex] L[x(t)]=\int_{a}^{b}dtx(t) [/tex]

    Or something like that..in the sense that Riemann Path integrals are just the limit of a Riemann sum over an space of paths X(t)

    Or in terms of 'hyperreal' function so [tex] x(t)+i \epsilon \delta (t-t') [/tex]

    for i=1,2,3,4,5,6,7,8,9,....... and 'epsilon' is a infinitesimal quantity.
    Last edited: Apr 20, 2007
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted

Similar Discussions: Definition of Feynmann integral ?
  1. Feynmann Diagrams (Replies: 1)

  2. Feynmann path integral (Replies: 3)