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the wave functions for a particle in an infinite square well(between rigid walls

ID: 2136694 • Letter: T

Question


the wave functions for a particle in an infinite square well(between rigid walls) are described by:  si(x)=A sin(n pi x/l)  where n denotes the (quantized) energy states of the particle and the l is the width of the square well. normalize the function, such that you determine the value for the arbtrary constant A. What is the probability to find the particle within x=(0,1/3) for the first three energy states (n=1,2,3)? from classical considerations, what would you think these probabilities should be?

Explanation / Answer

probability of finding electron is 0 everywhere