A one-dimensional potential well has a barrier of height 1.5 eV (relative to the energy of the bottom of the well) on the right hand side, and a barrier higher than this on the left hand side. We happen to know that this potential well has an energy eigenstate for an electron at 1.3 eV (also relative to the energy at the bottom of the well).
State the general form of the wavefunction solution (i.e., within a normalizing constant that you need
not attempt to determine) in each of the following two cases, giving actual values for any wavevector
magnitude k and/or decay constant κ in these wavefunctions
(a) within the well
(b) in the barrier on the right hand side
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