Problem 10.4

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A particle is in a superposition state in a one-dimensional box of length L = 1.  The states shown are normalized and is an equal mix of the two states n₁ and n₂ for the infinite square well, Y_n1n2(x) = (1/2)^−1/2 [ψ_n1(x) + ψ_n2(x)].    Vary n₁ and n₂.  The results of the integrals that give <x> and <x²> and <p> and <p²>.  You may vary n from 1 to 10.    Restart. 

1. What do you notice about the time-independent values of <x> and <x²> as you vary n₁ and n₂? 
2. What do you notice about the time-independent values of <p> and <p²> as you vary n₁ and n₂? 

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