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Degenreate states

  1. Oct 15, 2003 #1
    would someone mind explaining why, in general, degenerate (quantum) states are not orthogonal?
     
  2. jcsd
  3. Oct 16, 2003 #2

    vanesch

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    Degenerate states form a whole subspace. The linear superposition of two degenerate states is again a state with the same eigenvalue. So your question is equivalent to:
    can someone explain me why all vectors aren't orthogonal ?

    However, it is always possible to choose an orthogonal basis in this subspace, and those eigenvectors ARE orthogonal.

    cheers,
    Patrick.
     
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