Make qualitative sketches of the wavefunctions for a
particle subjected to the potential in Figure 1.
Sketch the ground state, , the first two excited
states,
and
, and some highly excited state,
, with
energies as shown in the figure.
Be as precise as you can be with respect to relative curvature, amplitude, continuity, the location of nodes, etc. You may wish to make written comments highlighting salient features, particularly if your artistic skills are wanting.