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(15 points) There is a particle placed in a ground state of a double-well potential of the form shown in the figure below, where the wells to the left and right can be well approximated by a onedimensional harmonic potential. When the wells are infinitely separated, there is a ground state (of the same energy E0 = I'm / 2) described by the wave functions -c..".r.](:|:.-rr) in each well. For finite separation of the wells, give qualitative arguments for breaking of the degeneracy of the ground state energy E\" > E, in the left and right wells. Propose a formula for the splitting AE E E+ E_ of the ground state energy in the WKB approximation (in. are the turning points). Check that it leads to the restoration of degeneracy when the wells are infinitely separated