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Piecewise constant Potential

 

Make qualitative sketches of the wave functions for a particle subjected to the potential in Figure 1. Sketch the ground state, tex2html_wrap_inline554 , the first two excited states, tex2html_wrap_inline556 and tex2html_wrap_inline558 , and some highly excited state, tex2html_wrap_inline526 , 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.

   figure118
Figure 1: Potential function tex2html_wrap_inline458



Prof. Tomas Alberto Arias
Fri Apr 25 11:33:56 EDT 1997