1. The problem statement, all variables and given/known data Consider the eigenfunction in the top part of the figure. (a) Which of the three potentials illustrated in the bottom part of the figure could lead to such an eigenfunction? Give qualitative arguments to justify your answer. (b) The eigenfunction shown is not the one corresponding to the lowest allowed energy for the potential. Sketch the form of the eigenfunction which does correspond to the lowest allowed energy E1. (c) Indicate on another sketch the range of energies where you would expect discretely separated allowed energy states, and the range of energies where you would expect the allowed energies to be continuously distributed. (d) Sketch the form of the eigenfunction which corresponds to the second allowed energy E2. (e) To which energy level does the eigenfunction presented on top of the figure correspond I've attached the figure, but It might be easier to read in this file i found on the internet (problem #5): http://www.phys.ncku.edu.tw/~ccheng/MP2011/HW2_SE.pdf 3. The attempt at a solution I have already done part (a) by identifying the sign of ψ and (V-E). I concluded that the correct potential is the last one on the bottom. You can see my solution in the attachment. For part (b), i think the sketch should have two peaks, one in each classically allowed region (B/C and E/F in my drawing) since this is the minimum amount of oscillations that will work. However, this makes me think the answer to part (e) is energy level two. Which makes part (d) confusing. Also, i'm not sure what part (c) means by "discretely separated allowed allowed energy states" and continuously distributed allowed energies. Any help would be greatly appreciated.