a) You can qualitatively "solve" for y just knowing V (x). List aspects of V (x) that indicate various properties of the wave function (its amplitude, curvature, discontinuities, oscillating or decaying, cusped). b) Solve for the general solution of a particle in a step potential with V(x) = 0 for x < 0 and V(x) Vo forx > 0 and E < Vo. Apply the boundary conditions at x = 0 and x = co to simplify this y. c) Explain what is meant by tunneling and how this is not allowed by classical physics. d) Show that a H atom in this potential would tunnel more than a C atom.

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