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Homework Help: Hamiltonian (in Quantum Mechanics)

  1. Oct 5, 2006 #1
    The Hamiltonian is given:

    H=Aâ†â + B(â + â†)

    where â is annihilation operator and ↠is creation operator,
    and A and B are constants.

    How can I get the eigenenergy of this Hamiltonian?

    The given hint is "Use new operator b = câ + d, b† =c↠+ d
    (c and d are constants, too)

    But I can't use that hint properly.
     
  2. jcsd
  3. Oct 6, 2006 #2

    Meir Achuz

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    Gold Member

    Form H=b*b. Compare this with the original H, and solve for c and d in terms
    of A and B.
     
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