Compare the wave functions for the first three energy

Chapter 40, Problem Q40.16

(choose chapter or problem)

Compare the wave functions for the first three energy levels for a particle in a box of width L (see Fig. 40.12a) to the corresponding wave functions for a finite potential well of the same width (see Fig. 40.15a). How does the wavelength in the interval 0 x L for the n = 1 level of the particle in a box compare to the corresponding wavelength for the n = 1 level of the finite potential well? Use this to explain why E1 is less than E1-IDW in the situation depicted in Fig. 40.15b

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