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Significance of the hamiltonian commuting

  1. Oct 9, 2007 #1
    Wht is the significance of an operator commuting with the hamiltonian??
    Its definitely more than them being measurable simultaneously and precisely!
  2. jcsd
  3. Oct 9, 2007 #2


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    It means that this physical quantity is conserved in time. In other words, if a state is an eigenstate fo this other operator at t=0, it will remain an eigenstate of that operator at later time. This is because the Hamiltonian is the operator that governs the time evolution of the system.
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