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Energy spectrum from a hamiltonian

  1. Oct 28, 2011 #1
    Hi there, just wondered if anyone could help me...
    If I am given a hamiltonian describing a particle in one dimension

    H=p^2/2m +1/2 (γ(x-a)^1/2) + K(x-b) how do I go about finding the eigenstates and eigenvalues of this hamiltonian?
    Many thanks
  2. jcsd
  3. Oct 28, 2011 #2


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    For that classical Hamiltonian, can you think of a canonical transformation in phase space to get rid of the square root ?
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