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Mean position in a 1-D harmonic oscillator

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Obtain the mean position, <x>, for a particle moving in a 1-D harmonic oscillator potential, when the particle is in the state with normalized wavefunction:

Y(x)= ((a/(4*pi))^.25)*(2ax^2-1)*exp((-ax^2)/2)

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This posting gives a step-by-step solution for finding the mean position of a moving particle.

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