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!

Statistical Mechanics Math Problem

  1. Aug 6, 2011 #1
    I was reading the solution to a statistical mechanics problem and this showed up:

    http://imageshack.us/photo/my-images/196/grddar.jpg/

    S2N-1 = the area of the 2N-1 dimensional unit sphere.

    Could anyone shed some light on how these expressions equal each other, I am quite dumbfounded :(.
     
  2. jcsd
  3. Aug 8, 2011 #2
    my guess is that, assuming your domain of integration is a high dimensional 2n-ball and you're integrating over all of R^2n, setting the radius=1 yields the (2n-1)-volume of a fixed boundary, which in (2n-1)+1 spherical coordinates is a S^(2n-1) sphere. then product this with the remaining radial dimension you get back the original ball integral.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Statistical Mechanics Math Problem
Loading...