1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Method of stationary phase

  1. Oct 24, 2011 #1
    1. The problem statement, all variables and given/known data

    Find asymptotic expansions for the following integral, as [itex]x \to \infty[/itex], using the method of stationary phase.

    [tex]\int^1_0 e^{ixt^p} dt, p > 1[/tex]

    2. Relevant equations

    3. The attempt at a solution

    1. let the phase be [itex]t^2[/itex]. is this correct?
    2. [itex]\frac{d}{dt} t^2 = 2t = 0[/itex], so phase stationary is [itex]0[/itex].
    3. expand phase about stationary point [itex]t=0[/itex] and i get [itex]0[/itex]. something is wrong, should i be doing this?
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted