Consider a particle in a one-dimensional box of length L that is centered at the origin. (a)

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Consider a particle in a one-dimensional box of length L that is centered at the origin.

(a) What are the values of ψ1(0) and ψ2(0)?

(b) What are the values of <x> for the states n = 1 and n = 2?

(c) Evaluate <x2> for the states n = 1 and n = 2. 

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