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A What are L+ and L- matrices for l=3 ?

  1. Jan 9, 2017 #1
    Hi everyone
    I need raising and lowering operators for l=3 (so it should be 7 dimensional ).
    is it enough to use this formula:
    (J±)|j, m > =sqrt(j(j + 1) - m(m ± 1))|j, m ± 1 >
    The main problem is about calculating lx=2 for a given wave function , I know L^2 and Lz but I need L+ and L- to solve the problem.
    Thanks in advance
    Last edited: Jan 9, 2017
  2. jcsd
  3. Jan 9, 2017 #2


    User Avatar

    Staff: Mentor

    Yes, you can use that formula. Matrix elements for an operator ##\hat{A}## are simply given by
    A_{ij} = \langle i | \hat{A} | j \rangle
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