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I Why do I get to a contradiction?

  1. Apr 25, 2017 #1
    I don't understand why LzL+ acting over m is Planck constant(m+1) L+|m>. I 've done it and I've got to a contradiction. Am I doing something wrong?
     
  2. jcsd
  3. Apr 25, 2017 #2

    DrClaude

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    Staff: Mentor

    Your notaion is difficult to understand. Do you mean
    $$
    L_z L^+ | l,m \rangle = \hbar (m+1) L^+ | l,m \rangle
    $$
    with ##L^+## the raising operator and ##| l,m \rangle## an eigenstate of ##L^2## and ##L_z## (with quantum numbers ##l## and ##m##)?

    If so, what is the result of ##L^+ | l,m \rangle##?
     
  4. Apr 26, 2017 #3

    Demystifier

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    Science Advisor

    Even though you didn't say what exactly have you done, the above is sufficient to conclude that the answer is - yes.
     
  5. May 6, 2017 #4
    Yup that is very probable. But, there's still the option I didn't understand some of the mathematics, and yet, I may not have done anything wrong.
     
  6. May 6, 2017 #5
    Then please show us what you have already done.
     
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