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I have a problem. I've tried this question, but I don't get the correct expression. Can someone give me some ideas? Thanks!

Consider the Hydrogen Atom Hamiltonian:
$$ H = (\mathbf p^2/2 \mu)-(e^2/r) $$ Define a vector operator: $$ \mathbf M = (1/2 \mu)(\mathbf p\times\mathbf L - \mathbf L\times\mathbf p)-(e^2/r)\mathbf r $$

Show that: $$ \mathbf M^2 = (2H/\mu)(\mathbf L^2+ \hbar^2) + e^4 $$

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  • $\begingroup$ Welcome to Physics! This is a site for conceptual questions about physics, not general homework help. If you can edit your question to ask about the specific physics concept that is giving you trouble, I'll be happy to reopen it. See our FAQ and homework policy for more information. $\endgroup$
    – David Z
    Commented Feb 27, 2012 at 1:46
  • $\begingroup$ sorry about that. I'm new to this forum. I will do that the next time. $\endgroup$
    – Pishi
    Commented Feb 27, 2012 at 1:52
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    $\begingroup$ This is the quantum analog of the Lens-Thirring vector, and you should check the classical identity first. $\endgroup$
    – Ron Maimon
    Commented Feb 27, 2012 at 4:11
  • $\begingroup$ Just a comment, it would help at least one future, that means present, visitor, so the reasoning is already false. :P $\endgroup$
    – user74200
    Commented Nov 24, 2015 at 23:05

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