Energy spectrum from a hamiltonian

Fixxxer125
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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
 
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