Spin orbit interaction

Discussion in 'Physics' started by circuit2000, Mar 26, 2007.

  1. circuit2000

    Thread Starter Active Member

    Jul 6, 2006
    The general expression for potential energy of a magnetic dipole placed in magnetic field B is given by,
    E = -m.B
    Where m=magnetic dipole moment
    It is given in a book that due to spin orbit interaction, the potential energy possessed by an electron can be written as,
    E(s) = K(L.S)

    They argue that m is proportional to S(spin quantum number) and B is proportional to L(orbital quantum number).What is K in the above expression? They have calculated the value of K in one of the problems and I found that it has different values for different atoms.
  2. Dave

    Retired Moderator

    Nov 17, 2003
    Without seeing the text in context, might I suggest K is a constant of proportionality which serves to allow the expression to be equated?


    E(s) α L.S

    With constant of proportionality:

    E(s) = K(L.S)

    K will vary according to the proportionality of S and B as described in your OP.