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Consider the normalized wave function = ao+by for a one-dimensional simple harmonic oscillator at some time, where to and are the normalized ground state

Consider the normalized wave function = ao+by for a one-dimensional simple harmonic oscillator at some time, where to and are the normalized ground state and the first excited state respectively, and a, b are real numbers. For what values of a and b, the magnitude of expectation value of x, i.e. |(x)\, is maximum? (A) a = a (B) a = b =1/2 (C) a = 1, b = 0 (D) a = 0, b= 1 = -b=1/2

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