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!

Kroenecker delta δ question

  1. Oct 8, 2012 #1
    1. The problem statement, all variables and given/known data
    kroenecker delta has one upper and one lower index. except from uppper index and lower index,we have 2 slots for the upper index and 2 slots for the lower index(for a 2 index tensor).
    Why krenecker delta left or right slot index position doesnt matters?
    Also why 2 two index tensors may not be equal because of the peculiarity of left and right slot index position?


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Oct 9, 2012 #2
    That's just because of the definition. Tensors that behave like this are called symmetric.

    I don't understand what this question means.
     
  4. Oct 9, 2012 #3

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    Because of the general definition of a tensor as a multilinear mapping, the order in which the vector spaces and their duals are chosen really matters, especially when the bundle of tensors is defined for a metric manifold (as is the case in relativity).

    You will study electrodynamics and discover that the mixed components of the field tensor are all different, that is

    [tex] F_{\mu}^{~~\nu} \neq F^{\nu}_{~~\mu} [/tex]

    for arbitrary index values.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Kroenecker delta δ question
  1. Δ Resonance (Replies: 0)

Loading...