A particle is confined to be in the region-L/2

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56. A particle is confined to be in the region-L/2<x<L/2.
The particle is in the ground state. (a) What are the
average position and momentum of the particle? (b)
What is the root-mean-square deviation (Ar) of the
position of the particle from the average position? (c)
What is the root-mean-square deviation (Ap) of the
momentum of the particle from the average momen-
tum? (d) Show that the product Ar4p is in agreement
with the uncertainty principle.
Transcribed Image Text:56. A particle is confined to be in the region-L/2<x<L/2. The particle is in the ground state. (a) What are the average position and momentum of the particle? (b) What is the root-mean-square deviation (Ar) of the position of the particle from the average position? (c) What is the root-mean-square deviation (Ap) of the momentum of the particle from the average momen- tum? (d) Show that the product Ar4p is in agreement with the uncertainty principle.
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