The graph in FIGURE EX40.16 shows the potential-energy function U(x) of a particle. Solution of the Schrdinger

The graph in FIGURE EX40.16 shows the potential-energy function U(x) of a particle. Solution of the Schrödinger equation finds that the n = 3 level has E₃= 0.5 eV and that the n = 6 level has E₆= 2.0 eV.

a. Redraw this figure and add to it the energy lines for the n = 3 and n = 6 states.b. Sketch the n = 3 and n = 6 wave functions. Show them as oscillating about the appropriate energy line.

Transcribed Image Text:

U (eV) 2. 1 x (nm) 3 FIGURE EX40.16 8