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The nth energy level for a particle of mass m confined in an infinite potential well is :

E = h^2n^2/8ml^2

where L is the width of the well and h is Planck’s constant. Assuming that the uncertainty in the particle’s momentum is equal to the momentum itself, show that the uncertainty in the particle’s position is less than the width of the well by a factor of n.

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# Particle in an infinite potential well, showing the uncertainty in x

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