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Help with commutators

  1. Sep 7, 2009 #1
    1. The problem statement, all variables and given/known data
    (H - hamiltonian, P - momentum, Q- position)
    Given two operators Q and Q', I have shown that [H(P, Q), Q] = [H(P, Q), Q']. I was wondering if this meant that I could assume that an energy spectrum found from H(P, Q) could be related to that of H(P, Q'). I am under the impression that the spectrum would be shifted over by a constant (multiplied by identity).

    2. Relevant equations
    Given above.

    3. The attempt at a solution
    The above problem comes from my attempt to solve a more complicated problem.
  2. jcsd
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