A quantum particle has a wave function for x>0 (x) = for x<0 (a) Find and sketch the probability density. (b) Find the probability that the particle will be at any point where x< 0. (c) Show that is normalized and then (d) find the proba- bility of finding the particle between x= 0 and x= a.

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A quantum particle has a wave function
for x>0
(x) =
for x<0
(a) Find and sketch the probability density. (b) Find the
probability that the particle will be at any point where x< 0.
(c) Show that is normalized and then (d) find the proba-
bility of finding the particle between x= 0 and x= a.
Transcribed Image Text:A quantum particle has a wave function for x>0 (x) = for x<0 (a) Find and sketch the probability density. (b) Find the probability that the particle will be at any point where x< 0. (c) Show that is normalized and then (d) find the proba- bility of finding the particle between x= 0 and x= a.
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