Deriving the square angular momentum in spherical coordinates

  1. 1. The problem statement, all variables and given/known data
    I want to derive the square of the total angular momentum as shown here: http://en.wikipedia.org/wiki/Angular_momentum_operator#Angular_momentum_computations_in_spherical_coordinates


    2. Relevant equations

    The x,y, and z components of angular momentum are shown in the above link. I'm attempting to solve it by [tex]L^2=(L_x)^2 + (L_y)^2+(L_z)^2[/tex]

    3. The attempt at a solution
    I think my problem is that I do not know how to deal with those partial differential operators. How do you go about squaring that binomial term that has differential operators? I think that's what I need to know and I don't know what to google to look for it.

    Thank you.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. dextercioby

    dextercioby 12,324
    Science Advisor
    Homework Helper

    You just need the chain rule of partial differentiation and a use of spherical coordinates...No binomial formulae needed.
     
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