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Homework Help: Eigenkets with eigenvalues

  1. Oct 2, 2006 #1

    A Hamiltonian has 3 eigenkets with three eigenvalues 1, sqrt(2) and sqrt(3) - will the expectation values of observables in general be period functions of time for this system?

    I dont know how to procede?

    Thnaks in advance
  2. jcsd
  3. Oct 2, 2006 #2

    Meir Achuz

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    To be periodic the three frequencies must be relatively rational.
  4. Oct 3, 2006 #3
    sqrt(2) is not a rational number neither is sqrt(3). So when you say relative rational what do you mean?

    Thanks in advance
  5. Oct 3, 2006 #4


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    That their ratio is a rational number.
  6. Oct 3, 2006 #5
    So I thought - so with the eigenvalues posted they will not be periodic!

    Thanks for the replies
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