Compare the wave functions for the first three energy levels for a particle in a box of

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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 E1is less than E1-IDWin the situation depicted in Fig. 40.15b.


Fig.40.12a

Compare the wave functions for the first three energy levels


Fig.40.15

(a) (b) UCx) (x) Continuum Uo=6E1-1Dw E=5.09E1-1Dw = 0.848U, n=3 E, n=3 Ug Е, п32 E = 2.43E1-IDW = 0.405U0 _Euow. E1 E

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University Physics with Modern Physics

ISBN: 978-0133977981

14th edition

Authors: Hugh D. Young, Roger A. Freedman

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