4) For a particle in a box of length L, a) At what positions are the probability density zero in the state with n 3? b) At what positions are the probability density zero in the state with n 6? c) What is the maximum value of probability density zero in the state with n 3 and n 6? What is the significance of the maxima in the probability density? d) Draw schematically the probability density functions for both states, using the numerical L values found in "a" and "b", and also their corresponding wavefunctions.
4) For a particle in a box of length L, a) At what positions are the probability density zero in the state with n 3? b) At what positions are the probability density zero in the state with n 6? c) What is the maximum value of probability density zero in the state with n 3 and n 6? What is the significance of the maxima in the probability density? d) Draw schematically the probability density functions for both states, using the numerical L values found in "a" and "b", and also their corresponding wavefunctions.
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Transcribed Image Text:4) For a particle in a box of length L,
a) At what positions are the probability density zero in the state with n= 3?
b) At what positions are the probability density zero in the state with n =
=6?
c) What is the maximum value of probability density zero in the state with n 3 and n = 6?
What is the significance of the maxima in the probability density?
d) Draw schematically the probability density functions for both states, using the numerical L
values found in "a" and "b", and also their corresponding wavefunctions.
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