Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Quadrupole moment

  1. Jul 12, 2009 #1
    In wikipedia http://en.wikipedia.org/wiki/Quadrupole

    Is this [tex]\delta_{i,j}[/tex] Kronecker delta?

    In my notebook I have relation:


    When direction of external field are the direction of symmetry axis [tex]Q=Q_0[/tex].

    In which book I can find more about this?
  2. jcsd
  3. Jul 12, 2009 #2

    Meir Achuz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    [tex]\delta_{i,j}[/tex] is the Kronecker delta.
    The relation from your notebook is not quite right. It should be
    for a symmetric quadrupole aligned along the z (or 3) axis, having quadrupole moment Q_0.
    There is a full discussion of quadrupoles in Section 2.4 of Franklin, "Classical Electromagnetism" (AW.com).
  4. Jul 13, 2009 #3
    Thanks! :smile:
  5. Jul 17, 2009 #4
    I found that in "Non relativistic quantum mechanics" of Landau. There is formulation:

    where [tex]n_i,n_j[/tex] are components of unit vector [tex]\vec{n}[/tex].
  6. Jul 17, 2009 #5


    User Avatar
    Science Advisor

    My formula is the reduction of Landau's when the unit vector n is in the z direction.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook