## Problem 10.4: Determine the time-independent expectation values for a two-state superposition

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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 *n*_{1 }and *n*_{2 }for the infinite square well, Y_{n1n2}(*x*) = (1/2)^{−1/2 }[ψ_{n1}(*x*) + ψ_{n2}(*x*)]. Vary *n*_{1} and *n*_{2}. The results of the integrals that give <*x*> and <*x*^{2}> and <*p*> and <*p*^{2}>. You may vary *n* from 1 to 10. Restart.

- What do you notice about the time-independent values of <
*x*> and <*x*^{2}> as you vary*n*_{1}and*n*_{2}? - What do you notice about the time-independent values of <
*p*> and <*p*^{2}> as you vary*n*_{1}and*n*_{2}?