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Show that psi(x) = (alpha/4pi)^1/4(2alphax^2 - 1)e^-(1/2)alpha x^2 is a solution of the Schrodinger equation for the harmonic oscillator by substituting in it. Determine the

Show that psi(x) = (alpha/4pi)^1/4(2alphax^2 - 1)e^-(1/2)alpha x^2 is a solution of the Schrodinger equation for the harmonic oscillator by substituting in it. Determine the energy eigenvalue and energy level

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