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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 n1 and n2 for the infinite square well, Yn1n2(x) = (1/2)−1/2 [ψn1(x) + ψn2(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.
- What do you notice about the time-independent values of <x> and <x2> as you vary n1 and n2?
- What do you notice about the time-independent values of <p> and <p2> as you vary n1 and n2?