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!

Simple Tensor Analysis

  1. Sep 29, 2008 #1
    1. The problem statement, all variables and given/known data
    I am having trouble solving this problem. From an analysis of the behavior of a general second-rank tensor under 90 degree and 180 degree rotations about the coordinate axes, show that an isotropic second-rank tensor in 3-D space must be a multiplier of delta ij.

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Sep 29, 2008 #2


    User Avatar
    Staff Emeritus
    Science Advisor

    Well, what does "isotropic" mean here? And how does a tensor change under rotations?
    For this problem you don't really need to look at general rotations: rotation by 90 degrees changes x to y and y to -x. Rotation by 180 degrees changes x to -x and y to -y.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Simple Tensor Analysis
  1. Tensor Analysis (Replies: 0)

  2. Simple Tensor Product (Replies: 8)